%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS195+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 : n019.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 2.43s 2.65s % Output : Proof 2.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 09:18:10 EDT 2022 % 0.12/0.34 % CPUTime : % 2.43/2.65 % SZS status Theorem % 2.43/2.65 (* PROOF-FOUND *) % 2.43/2.65 (* BEGIN-PROOF *) % 2.43/2.65 % SZS output start Proof % 2.43/2.65 1. (status T_0 T_1 (tca)) (-. (status T_0 T_1 (tca))) ### Axiom % 2.43/2.65 2. (Ex I1, (model I1 T_0)) (-. (Ex I1, (model I1 T_0))) ### Axiom % 2.43/2.65 3. ((-. (Ex I1, (model I1 T_0))) /\ (All I1, (model I1 T_1))) (Ex I1, (model I1 T_0)) ### And 2 % 2.43/2.65 4. (((-. (Ex I1, (model I1 T_0))) /\ (All I1, (model I1 T_1))) <=> (status T_0 T_1 (tca))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (tca)) ### Equiv 1 3 % 2.43/2.65 5. (All C, (((-. (Ex I1, (model I1 T_0))) /\ (All I2, (model I2 C))) <=> (status T_0 C (tca)))) (status T_0 T_1 (tca)) (Ex I1, (model I1 T_0)) ### All 4 % 2.43/2.65 6. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (tca)) ### All 5 % 2.43/2.65 7. (-. (-. (Ex I1, (model I1 T_0)))) (status T_0 T_1 (tca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) ### NotNot 6 % 2.43/2.65 8. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 2.43/2.65 9. (-. (Ex I1, (model I1 T_0))) (model T_2 T_0) ### NotExists 8 % 2.43/2.65 10. ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 zenon_X3 (cax))) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (status T_0 T_1 (tca)) ### Equiv 7 9 % 2.43/2.65 11. (All C, ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 C (cax)))) (status T_0 T_1 (tca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (model T_2 T_0) ### All 10 % 2.43/2.65 12. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (model T_2 T_0) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (status T_0 T_1 (tca)) ### All 11 % 2.43/2.65 13. (-. ((model T_2 T_0) => (model T_2 T_1))) (status T_0 T_1 (tca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotImply 12 % 2.43/2.65 14. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (status T_0 T_1 (tca)) ### NotAllEx 13 % 2.43/2.65 15. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 2.43/2.65 16. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (tca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Equiv 14 15 % 2.43/2.65 17. (All C, ((All I1, ((model I1 T_0) => (model I1 C))) <=> (status T_0 C (thm)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (status T_0 T_1 (tca)) (-. (status T_0 T_1 (thm))) ### All 16 % 2.43/2.65 18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (status T_0 T_1 (tca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 17 % 2.43/2.65 19. (-. ((status T_0 T_1 (tca)) => (status T_0 T_1 (thm)))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 18 % 2.43/2.65 20. (-. (All C, ((status T_0 C (tca)) => (status T_0 C (thm))))) (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))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotAllEx 19 % 2.43/2.65 21. (-. (All Ax, (All C, ((status Ax C (tca)) => (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))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 20 % 2.43/2.65 22. (-. (isa (tca) (thm))) (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))) /\ (All I2, (model I2 C))) <=> (status Ax C (tca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### Definition-Pseudo(isa) 21 % 2.43/2.65 % SZS output end Proof % 2.43/2.65 (* END-PROOF *) %------------------------------------------------------------------------------