%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS217+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 : n026.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 03:32:13 EDT 2022 % Result : Theorem 132.37s 132.72s % Output : Proof 132.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.11 % Problem : KRS217+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.02/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.10/0.32 % Computer : n026.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 600 % 0.10/0.32 % DateTime : Tue Jun 7 11:25:16 EDT 2022 % 0.10/0.32 % CPUTime : % 132.37/132.72 % SZS status Theorem % 132.37/132.72 (* PROOF-FOUND *) % 132.37/132.72 (* BEGIN-PROOF *) % 132.37/132.72 % SZS output start Proof % 132.37/132.72 1. (model T_0 T_1) (-. (model T_0 T_1)) ### Axiom % 132.37/132.72 2. (-. (model T_0 T_2)) (model T_0 T_2) ### Axiom % 132.37/132.72 3. ((model T_0 T_1) => (model T_0 T_2)) (-. (model T_0 T_2)) (model T_0 T_1) ### Imply 1 2 % 132.37/132.72 4. (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (-. (model T_0 T_2)) ### All 3 % 132.37/132.72 5. (model T_0 T_1) (-. (model T_0 T_1)) ### Axiom % 132.37/132.72 6. (-. ((model T_0 T_2) /\ (model T_0 T_1))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) ### NotAnd 4 5 % 132.37/132.72 7. (-. (Ex I1, ((model I1 T_2) /\ (model I1 T_1)))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) ### NotExists 6 % 132.37/132.72 8. (model T_3 T_2) (-. (model T_3 T_2)) ### Axiom % 132.37/132.72 9. (model T_3 (not T_1)) (-. (model T_3 (not T_1))) ### Axiom % 132.37/132.72 10. (-. ((model T_3 T_2) /\ (model T_3 (not T_1)))) (model T_3 (not T_1)) (model T_3 T_2) ### NotAnd 8 9 % 132.37/132.72 11. (-. (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) (model T_3 T_2) (model T_3 (not T_1)) ### NotExists 10 % 132.37/132.72 12. (-. (model T_3 T_1)) (model T_3 T_1) ### Axiom % 132.37/132.72 13. (-. ((model T_3 T_1) <=> (model T_3 (not T_1)))) (-. (model T_3 T_1)) (model T_3 T_2) (-. (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) ### NotEquiv 11 12 % 132.37/132.72 14. (All F, (-. ((model T_3 F) <=> (model T_3 (not F))))) (-. (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) (model T_3 T_2) (-. (model T_3 T_1)) ### All 13 % 132.37/132.72 15. (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) (-. (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) ### All 14 % 132.37/132.72 16. (-. ((Ex I1, ((model I1 T_2) /\ (model I1 T_1))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1)))))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) ### NotAnd 7 15 % 132.37/132.72 17. (-. (status T_2 T_1 (noc))) (status T_2 T_1 (noc)) ### Axiom % 132.37/132.72 18. (((Ex I1, ((model I1 T_2) /\ (model I1 T_1))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) <=> (status T_2 T_1 (noc))) (-. (status T_2 T_1 (noc))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) ### Equiv 16 17 % 132.37/132.72 19. (All C, (((Ex I1, ((model I1 T_2) /\ (model I1 C))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not C))))) <=> (status T_2 C (noc)))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (-. (status T_2 T_1 (noc))) ### All 18 % 132.37/132.72 20. (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (-. (status T_2 T_1 (noc))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) ### All 19 % 132.37/132.72 21. (-. (status T_2 T_1 (thm))) (status T_2 T_1 (thm)) ### Axiom % 132.37/132.72 22. (-. (-. (status T_2 T_1 (thm)))) (-. (status T_2 T_1 (thm))) ### NotNot 21 % 132.37/132.72 23. (-. ((status T_2 T_1 (noc)) /\ (-. (status T_2 T_1 (thm))))) (-. (status T_2 T_1 (thm))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) ### NotAnd 20 22 % 132.37/132.72 24. (-. (Ex C, ((status T_2 C (noc)) /\ (-. (status T_2 C (thm)))))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) (-. (status T_2 T_1 (thm))) ### NotExists 23 % 132.37/132.72 25. (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) (-. (status T_2 T_1 (thm))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) ### NotExists 24 % 132.37/132.72 26. (model T_4 T_2) (-. (model T_4 T_2)) ### Axiom % 132.37/132.72 27. (-. (model T_4 T_1)) (model T_4 T_1) ### Axiom % 132.37/132.72 28. ((model T_4 T_2) => (model T_4 T_1)) (-. (model T_4 T_1)) (model T_4 T_2) ### Imply 26 27 % 132.37/132.72 29. (All I1, ((model I1 T_2) => (model I1 T_1))) (model T_4 T_2) (-. (model T_4 T_1)) ### All 28 % 132.37/132.72 30. (model T_4 (not T_1)) (-. (model T_4 (not T_1))) ### Axiom % 132.37/132.72 31. (-. ((model T_4 T_1) <=> (model T_4 (not T_1)))) (model T_4 (not T_1)) (model T_4 T_2) (All I1, ((model I1 T_2) => (model I1 T_1))) ### NotEquiv 29 30 % 132.37/132.72 32. (All F, (-. ((model T_4 F) <=> (model T_4 (not F))))) (All I1, ((model I1 T_2) => (model I1 T_1))) (model T_4 T_2) (model T_4 (not T_1)) ### All 31 % 132.37/132.72 33. (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_4 (not T_1)) (model T_4 T_2) (All I1, ((model I1 T_2) => (model I1 T_1))) ### All 32 % 132.37/132.72 34. ((model T_4 T_2) /\ (model T_4 (not T_1))) (All I1, ((model I1 T_2) => (model I1 T_1))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) ### And 33 % 132.37/132.72 35. (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1)))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All I1, ((model I1 T_2) => (model I1 T_1))) ### Exists 34 % 132.37/132.72 36. ((Ex I1, ((model I1 T_2) /\ (model I1 T_1))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) (All I1, ((model I1 T_2) => (model I1 T_1))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) ### And 35 % 132.37/132.72 37. (((Ex I1, ((model I1 T_2) /\ (model I1 T_1))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not T_1))))) <=> (status T_2 T_1 (noc))) (All I1, ((model I1 T_2) => (model I1 T_1))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) ### Equiv 16 36 % 132.37/132.72 38. (All C, (((Ex I1, ((model I1 T_2) /\ (model I1 C))) /\ (Ex I1, ((model I1 T_2) /\ (model I1 (not C))))) <=> (status T_2 C (noc)))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (All I1, ((model I1 T_2) => (model I1 T_1))) ### All 37 % 132.37/132.72 39. (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I1, ((model I1 T_2) => (model I1 T_1))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) ### All 38 % 132.37/132.72 40. ((All I1, ((model I1 T_2) => (model I1 T_1))) <=> (status T_2 T_1 (thm))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) ### Equiv 25 39 % 132.37/132.72 41. (All C, ((All I1, ((model I1 T_2) => (model I1 C))) <=> (status T_2 C (thm)))) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) (model T_3 T_2) (-. (model T_3 T_1)) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) ### All 40 % 132.37/132.72 42. (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) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (model T_3 T_1)) (model T_3 T_2) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) ### All 41 % 132.37/132.72 43. ((-. (model T_3 T_1)) /\ (model T_3 T_2)) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (model T_0 T_1) (All I1, ((model I1 T_1) => (model I1 T_2))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### And 42 % 132.37/132.73 44. (Ex I3, ((-. (model I3 T_1)) /\ (model I3 T_2))) (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) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (model T_0 T_1) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) ### Exists 43 % 132.37/132.73 45. (Ex I1, (model I1 T_1)) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All I1, ((model I1 T_1) => (model I1 T_2))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (Ex I3, ((-. (model I3 T_1)) /\ (model I3 T_2))) ### Exists 44 % 132.37/132.73 46. ((Ex I1, (model I1 T_1)) /\ ((All I1, ((model I1 T_1) => (model I1 T_2))) /\ ((Ex I3, ((-. (model I3 T_1)) /\ (model I3 T_2))) /\ (Ex I4, (-. (model I4 T_2)))))) (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) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) ### ConjTree 45 % 132.37/132.73 47. (Ex C, ((Ex I1, (model I1 T_1)) /\ ((All I1, ((model I1 T_1) => (model I1 C))) /\ ((Ex I3, ((-. (model I3 T_1)) /\ (model I3 C))) /\ (Ex I4, (-. (model I4 C))))))) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) ### Exists 46 % 132.37/132.73 48. (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)))))))) (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) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (-. (Ex Ax, (Ex C, ((status Ax C (noc)) /\ (-. (status Ax C (thm))))))) ### Exists 47 % 132.37/132.73 49. (-. (nota (noc) (thm))) (All I, (All F, (-. ((model I F) <=> (model I (not F)))))) (All Ax, (All C, (((Ex I1, ((model I1 Ax) /\ (model I1 C))) /\ (Ex I1, ((model I1 Ax) /\ (model I1 (not C))))) <=> (status Ax C (noc))))) (All Ax, (All C, ((All I1, ((model I1 Ax) => (model I1 C))) <=> (status Ax C (thm))))) (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(nota) 48 % 132.37/132.73 % SZS output end Proof % 132.37/132.73 (* END-PROOF *) %------------------------------------------------------------------------------