%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS268+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 : n017.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 03:32:18 EDT 2022 % Result : Theorem 2.85s 3.03s % Output : Proof 2.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n017.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 07:41:47 EDT 2022 % 0.12/0.34 % CPUTime : % 2.85/3.03 % SZS status Theorem % 2.85/3.03 (* PROOF-FOUND *) % 2.85/3.03 (* BEGIN-PROOF *) % 2.85/3.03 % SZS output start Proof % 2.85/3.03 1. (model T_0 T_1) (-. (model T_0 T_1)) ### Axiom % 2.85/3.03 2. (All I, (-. (model I T_1))) (model T_0 T_1) ### All 1 % 2.85/3.03 3. (-. ((model T_0 T_1) => (model T_0 T_2))) (All I, (-. (model I T_1))) ### NotImply 2 % 2.85/3.03 4. (-. (All I1, ((model I1 T_1) => (model I1 T_2)))) (All I, (-. (model I T_1))) ### NotAllEx 3 % 2.85/3.03 5. (Ex I1, (model I1 T_2)) (-. (Ex I1, (model I1 T_2))) ### Axiom % 2.85/3.03 6. (-. (model T_3 T_2)) (model T_3 T_2) ### Axiom % 2.85/3.03 7. (-. (-. (model T_3 T_2))) (-. (model T_3 T_2)) ### NotNot 6 % 2.85/3.03 8. (-. (Ex I2, (-. (model I2 T_2)))) (-. (model T_3 T_2)) ### NotExists 7 % 2.85/3.03 9. (model T_4 T_1) (-. (model T_4 T_1)) ### Axiom % 2.85/3.03 10. (All I, (-. (model I T_1))) (model T_4 T_1) ### All 9 % 2.85/3.03 11. (Ex I2, (model I2 T_1)) (All I, (-. (model I T_1))) ### Exists 10 % 2.85/3.03 12. (Ex I1, (model I1 T_2)) (-. (Ex I1, (model I1 T_2))) ### Axiom % 2.85/3.03 13. (Ex I2, (-. (model I2 T_2))) (-. (Ex I2, (-. (model I2 T_2)))) ### Axiom % 2.85/3.03 14. (-. ((-. (Ex I2, (model I2 T_1))) /\ ((Ex I1, (model I1 T_2)) /\ (Ex I2, (-. (model I2 T_2)))))) (Ex I2, (-. (model I2 T_2))) (Ex I1, (model I1 T_2)) (All I, (-. (model I T_1))) ### DisjTree 11 12 13 % 2.85/3.03 15. (-. (status T_1 T_2 (wca))) (status T_1 T_2 (wca)) ### Axiom % 2.85/3.03 16. (((-. (Ex I2, (model I2 T_1))) /\ ((Ex I1, (model I1 T_2)) /\ (Ex I2, (-. (model I2 T_2))))) <=> (status T_1 T_2 (wca))) (-. (status T_1 T_2 (wca))) (All I, (-. (model I T_1))) (Ex I1, (model I1 T_2)) (Ex I2, (-. (model I2 T_2))) ### Equiv 14 15 % 2.85/3.03 17. (All C, (((-. (Ex I2, (model I2 T_1))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status T_1 C (wca)))) (Ex I2, (-. (model I2 T_2))) (Ex I1, (model I1 T_2)) (All I, (-. (model I T_1))) (-. (status T_1 T_2 (wca))) ### All 16 % 2.85/3.03 18. (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (status T_1 T_2 (wca))) (All I, (-. (model I T_1))) (Ex I1, (model I1 T_2)) (Ex I2, (-. (model I2 T_2))) ### All 17 % 2.85/3.03 19. (status T_1 T_2 (thm)) (-. (status T_1 T_2 (thm))) ### Axiom % 2.85/3.03 20. (-. ((status T_1 T_2 (wca)) /\ (status T_1 T_2 (thm)))) (status T_1 T_2 (thm)) (Ex I2, (-. (model I2 T_2))) (Ex I1, (model I1 T_2)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) ### NotAnd 18 19 % 2.85/3.03 21. (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All I, (-. (model I T_1))) (Ex I1, (model I1 T_2)) (Ex I2, (-. (model I2 T_2))) (status T_1 T_2 (thm)) ### NotExists 20 % 2.85/3.03 22. (-. (All I2, (model I2 T_2))) (status T_1 T_2 (thm)) (Ex I1, (model I1 T_2)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) ### NotAllEx 21 % 2.85/3.03 23. (-. ((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 T_2))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All I, (-. (model I T_1))) (status T_1 T_2 (thm)) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) ### DisjTree 5 8 22 % 2.85/3.03 24. ((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 T_2)))) (Ex I1, (model I1 T_2)) (All I, (-. (model I T_1))) (-. (status T_1 T_2 (wca))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) ### ConjTree 18 % 2.85/3.03 25. (((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 T_2)))) <=> (status T_2 T_2 (wtc))) (-. (status T_1 T_2 (wca))) (Ex I1, (model I1 T_2)) (-. (model T_3 T_2)) (status T_1 T_2 (thm)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) ### Equiv 23 24 % 2.85/3.03 26. (All C, (((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 C)))) <=> (status T_2 C (wtc)))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All I, (-. (model I T_1))) (status T_1 T_2 (thm)) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) (-. (status T_1 T_2 (wca))) ### All 25 % 2.85/3.03 27. (status T_1 T_2 (thm)) (-. (status T_1 T_2 (thm))) ### Axiom % 2.85/3.03 28. (-. ((status T_1 T_2 (wca)) /\ (status T_1 T_2 (thm)))) (Ex I1, (model I1 T_2)) (-. (model T_3 T_2)) (status T_1 T_2 (thm)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All C, (((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 C)))) <=> (status T_2 C (wtc)))) ### NotAnd 26 27 % 2.85/3.03 29. (All C, (((Ex I1, (model I1 T_2)) /\ ((Ex I2, (-. (model I2 T_2))) /\ (All I2, (model I2 C)))) <=> (status T_2 C (wtc)))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All I, (-. (model I T_1))) (status T_1 T_2 (thm)) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) ### NotExists 28 % 2.85/3.03 30. (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (Ex I1, (model I1 T_2)) (-. (model T_3 T_2)) (status T_1 T_2 (thm)) (All I, (-. (model I T_1))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) ### All 29 % 2.85/3.03 31. ((All I1, ((model I1 T_1) => (model I1 T_2))) <=> (status T_1 T_2 (thm))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (All I, (-. (model I T_1))) ### Equiv 4 30 % 2.85/3.03 32. (All C, ((All I1, ((model I1 T_1) => (model I1 C))) <=> (status T_1 C (thm)))) (All I, (-. (model I T_1))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (Ex I1, (model I1 T_2)) (-. (model T_3 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) ### All 31 % 2.85/3.03 33. (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (-. (Ex C, ((status T_1 C (wca)) /\ (status T_1 C (thm))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (All I, (-. (model I T_1))) ### All 32 % 2.85/3.03 34. (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) (All I, (-. (model I T_1))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (Ex I1, (model I1 T_2)) (-. (model T_3 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### NotExists 33 % 2.85/3.03 35. (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)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (-. (model T_3 T_2)) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) ### Exists 34 % 2.85/3.05 36. ((-. (model T_3 T_2)) /\ (model T_3 T_5)) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### And 35 % 2.85/3.05 37. (Ex I3, ((-. (model I3 T_2)) /\ (model I3 T_5))) (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)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (Ex I1, (model I1 T_2)) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) ### Exists 36 % 2.85/3.05 38. ((Ex I1, (model I1 T_2)) /\ ((All I1, ((model I1 T_2) => (model I1 T_5))) /\ ((Ex I3, ((-. (model I3 T_2)) /\ (model I3 T_5))) /\ (Ex I4, (-. (model I4 T_5)))))) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### ConjTree 37 % 2.85/3.05 39. (Ex C, ((Ex I1, (model I1 T_2)) /\ ((All I1, ((model I1 T_2) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 T_2)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C))))))) (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)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) ### Exists 38 % 2.85/3.05 40. (Ex Ax, (Ex C, ((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 Ax)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C)))))))) (-. (Ex Ax, (Ex C, ((status Ax C (wca)) /\ (status Ax C (thm)))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (All Ax, (All C, (((-. (Ex I1, (model I1 Ax))) /\ ((Ex I2, (model I2 C)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex F, (All I, (-. (model I F)))) ### Exists 39 % 2.85/3.05 41. (-. (mighta (wca) (thm))) (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)) /\ (Ex I4, (-. (model I4 C))))) <=> (status Ax C (wca))))) (All Ax, (All C, (((Ex I1, (model I1 Ax)) /\ ((Ex I2, (-. (model I2 Ax))) /\ (All I2, (model I2 C)))) <=> (status Ax C (wtc))))) (Ex Ax, (Ex C, ((Ex I1, (model I1 Ax)) /\ ((All I1, ((model I1 Ax) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 Ax)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C)))))))) ### Definition-Pseudo(mighta) 40 % 2.85/3.05 % SZS output end Proof % 2.85/3.05 (* END-PROOF *) %------------------------------------------------------------------------------