%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS194+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 03:32:09 EDT 2022 % Result : Theorem 2.95s 3.17s % Output : Proof 2.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.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 06:52:25 EDT 2022 % 0.12/0.33 % CPUTime : % 2.95/3.17 % SZS status Theorem % 2.95/3.17 (* PROOF-FOUND *) % 2.95/3.17 (* BEGIN-PROOF *) % 2.95/3.17 % SZS output start Proof % 2.95/3.17 1. (status T_0 T_1 (sca)) (-. (status T_0 T_1 (sca))) ### Axiom % 2.95/3.17 2. (Ex I1, (model I1 T_0)) (-. (Ex I1, (model I1 T_0))) ### Axiom % 2.95/3.17 3. ((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 T_1))) (Ex I1, (model I1 T_0)) ### And 2 % 2.95/3.17 4. (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 T_1))) <=> (status T_0 T_1 (sca))) (Ex I1, (model I1 T_0)) (status T_0 T_1 (sca)) ### Equiv 1 3 % 2.95/3.17 5. (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca)) (Ex I1, (model I1 T_0)) ### All 4 % 2.95/3.17 6. (-. (-. (Ex I1, (model I1 T_0)))) (status T_0 T_1 (sca)) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) ### NotNot 5 % 2.95/3.17 7. (model T_2 T_0) (-. (model T_2 T_0)) ### Axiom % 2.95/3.17 8. (-. (Ex I1, (model I1 T_0))) (model T_2 T_0) ### NotExists 7 % 2.95/3.17 9. ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 zenon_X3 (cax))) (model T_2 T_0) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca)) ### Equiv 6 8 % 2.95/3.17 10. (All C, ((-. (Ex I1, (model I1 T_0))) <=> (status T_0 C (cax)))) (status T_0 T_1 (sca)) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (model T_2 T_0) ### All 9 % 2.95/3.17 11. (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (model T_2 T_0) (All C, (((-. (Ex I1, (model I1 T_0))) /\ (Ex I2, (model I2 C))) <=> (status T_0 C (sca)))) (status T_0 T_1 (sca)) ### All 10 % 2.95/3.17 12. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (model T_2 T_0) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### All 11 % 2.95/3.17 13. (-. ((model T_2 T_0) => (model T_2 T_1))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### NotImply 12 % 2.95/3.17 14. (-. (All I1, ((model I1 T_0) => (model I1 T_1)))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) ### NotAllEx 13 % 2.95/3.17 15. (-. (status T_0 T_1 (thm))) (status T_0 T_1 (thm)) ### Axiom % 2.95/3.17 16. ((All I1, ((model I1 T_0) => (model I1 T_1))) <=> (status T_0 T_1 (thm))) (-. (status T_0 T_1 (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### Equiv 14 15 % 2.95/3.17 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))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (status T_0 T_1 (sca)) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (-. (status T_0 T_1 (thm))) ### All 16 % 2.95/3.17 18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (status T_0 T_1 (thm))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (status T_0 T_1 (sca)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### All 17 % 2.95/3.17 19. (-. ((status T_0 T_1 (sca)) => (status T_0 T_1 (thm)))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotImply 18 % 2.95/3.17 20. (-. (All C, ((status T_0 C (sca)) => (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))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### NotAllEx 19 % 2.95/3.17 21. (-. (All Ax, (All C, ((status Ax C (sca)) => (status Ax C (thm)))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) (All Ax, (All C, ((-. (Ex I1, (model I1 Ax))) <=> (status Ax C (cax))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotAllEx 20 % 2.95/3.17 22. (-. (isa (sca) (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))) <=> (status Ax C (cax))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ (Ex I2, (model I2 C))) <=> (status Ax C (sca))))) ### Definition-Pseudo(isa) 21 % 2.95/3.17 % SZS output end Proof % 2.95/3.17 (* END-PROOF *) %------------------------------------------------------------------------------