%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS201+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 03:32:10 EDT 2022 % Result : Theorem 25.88s 26.10s % Output : Proof 25.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n022.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 11:22:35 EDT 2022 % 0.12/0.34 % CPUTime : % 25.88/26.10 % SZS status Theorem % 25.88/26.10 (* PROOF-FOUND *) % 25.88/26.10 (* BEGIN-PROOF *) % 25.88/26.10 % SZS output start Proof % 25.88/26.10 1. (Ex I2, (model I2 T_0)) (-. (Ex I2, (model I2 T_0))) ### Axiom % 25.88/26.10 2. (-. ((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_0)))) (Ex I2, (model I2 T_0)) ### NotImply 1 % 25.88/26.10 3. (-. (status T_1 T_0 (sap))) (status T_1 T_0 (sap)) ### Axiom % 25.88/26.10 4. (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 T_0))) <=> (status T_1 T_0 (sap))) (-. (status T_1 T_0 (sap))) (Ex I2, (model I2 T_0)) ### Equiv 2 3 % 25.88/26.10 5. (All C, (((Ex I2, (model I2 T_1)) => (Ex I2, (model I2 C))) <=> (status T_1 C (sap)))) (Ex I2, (model I2 T_0)) (-. (status T_1 T_0 (sap))) ### All 4 % 25.88/26.10 6. (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (-. (status T_1 T_0 (sap))) (Ex I2, (model I2 T_0)) ### All 5 % 25.88/26.10 7. (-. (status T_1 T_0 (thm))) (status T_1 T_0 (thm)) ### Axiom % 25.88/26.10 8. (-. (-. (status T_1 T_0 (thm)))) (-. (status T_1 T_0 (thm))) ### NotNot 7 % 25.88/26.10 9. (-. ((status T_1 T_0 (sap)) /\ (-. (status T_1 T_0 (thm))))) (-. (status T_1 T_0 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) ### NotAnd 6 8 % 25.88/26.10 10. (-. (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_0)) (-. (status T_1 T_0 (thm))) ### NotExists 9 % 25.88/26.10 11. (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) (-. (status T_1 T_0 (thm))) (Ex I2, (model I2 T_0)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) ### NotExists 10 % 25.88/26.10 12. (model T_2 T_1) (-. (model T_2 T_1)) ### Axiom % 25.88/26.10 13. (-. (model T_2 T_0)) (model T_2 T_0) ### Axiom % 25.88/26.10 14. ((model T_2 T_1) => (model T_2 T_0)) (-. (model T_2 T_0)) (model T_2 T_1) ### Imply 12 13 % 25.88/26.10 15. (All I1, ((model I1 T_1) => (model I1 T_0))) (model T_2 T_1) (-. (model T_2 T_0)) ### All 14 % 25.88/26.10 16. ((All I1, ((model I1 T_1) => (model I1 T_0))) <=> (status T_1 T_0 (thm))) (-. (model T_2 T_0)) (model T_2 T_1) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) ### Equiv 11 15 % 25.88/26.10 17. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (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 (sap))))) (model T_2 T_1) (-. (model T_2 T_0)) ### All 16 % 25.88/26.10 18. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (model T_2 T_0)) (model T_2 T_1) (All Ax, (All C, (((Ex I1, (model I1 Ax)) => (Ex I2, (model I2 C))) <=> (status Ax C (sap))))) (Ex I2, (model I2 T_0)) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) ### All 17 % 25.88/26.10 19. ((model T_2 T_1) /\ ((-. (model T_2 T_0)) /\ (Ex I2, (model I2 T_0)))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (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, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### ConjTree 18 % 25.88/26.10 20. (Ex C, ((model T_2 T_1) /\ ((-. (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 (sap))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) ### Exists 19 % 25.88/26.10 21. (Ex Ax, (Ex C, ((model T_2 Ax) /\ ((-. (model T_2 C)) /\ (Ex I2, (model I2 C)))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (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, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 20 % 25.88/26.10 22. (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 (sap))))) (-. (Ex Ax, (Ex C, ((status Ax C (sap)) /\ (-. (status Ax C (thm))))))) ### Exists 21 % 25.88/26.10 23. (-. (nota (sap) (thm))) (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 I1, (Ex Ax, (Ex C, ((model I1 Ax) /\ ((-. (model I1 C)) /\ (Ex I2, (model I2 C))))))) ### Definition-Pseudo(nota) 22 % 25.88/26.10 % SZS output end Proof % 25.88/26.10 (* END-PROOF *) %------------------------------------------------------------------------------