%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KRS180+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 : n024.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 03:32:07 EDT 2022 % Result : Theorem 3.02s 3.20s % Output : Proof 3.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : KRS180+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.08/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.31 % Computer : n024.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 600 % 0.12/0.31 % DateTime : Tue Jun 7 11:21:50 EDT 2022 % 0.12/0.32 % CPUTime : % 3.02/3.20 % SZS status Theorem % 3.02/3.20 (* PROOF-FOUND *) % 3.02/3.20 (* BEGIN-PROOF *) % 3.02/3.20 % SZS output start Proof % 3.02/3.20 1. (status T_0 T_1 T_2) (-. (status T_0 T_1 T_2)) ### Axiom % 3.02/3.20 2. (-. (status T_0 T_1 T_3)) (status T_0 T_1 T_3) ### Axiom % 3.02/3.20 3. ((status T_0 T_1 T_2) => (status T_0 T_1 T_3)) (-. (status T_0 T_1 T_3)) (status T_0 T_1 T_2) ### Imply 1 2 % 3.02/3.20 4. (All C, ((status T_0 C T_2) => (status T_0 C T_3))) (status T_0 T_1 T_2) (-. (status T_0 T_1 T_3)) ### All 3 % 3.02/3.20 5. (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) (-. (status T_0 T_1 T_3)) (status T_0 T_1 T_2) ### All 4 % 3.02/3.20 6. ((status T_0 T_1 T_2) /\ (-. (status T_0 T_1 T_3))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### And 5 % 3.02/3.20 7. (Ex C, ((status T_0 C T_2) /\ (-. (status T_0 C T_3)))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### Exists 6 % 3.02/3.20 8. (Ex Ax, (Ex C, ((status Ax C T_2) /\ (-. (status Ax C T_3))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### Exists 7 % 3.02/3.20 9. (nota T_2 T_3) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### Definition-Pseudo(nota) 8 % 3.02/3.20 10. (-. (status zenon_X4 zenon_X5 T_2)) (status zenon_X4 zenon_X5 T_2) ### Axiom % 3.02/3.20 11. (-. ((status zenon_X4 zenon_X5 T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))) (-. (status zenon_X4 zenon_X5 T_2)) ### ConjTree 10 % 3.02/3.20 12. (-. (Ex C, ((status zenon_X4 C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3)))))))) (-. (status zenon_X4 zenon_X5 T_2)) ### NotExists 11 % 3.02/3.20 13. (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (-. (status zenon_X4 zenon_X5 T_2)) ### NotExists 12 % 3.02/3.20 14. (-. (status zenon_X4 zenon_X5 T_3)) (status zenon_X4 zenon_X5 T_3) ### Axiom % 3.02/3.20 15. ((status zenon_X4 zenon_X5 T_2) => (status zenon_X4 zenon_X5 T_3)) (-. (status zenon_X4 zenon_X5 T_3)) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### Imply 13 14 % 3.02/3.20 16. (All C, ((status zenon_X4 C T_2) => (status zenon_X4 C T_3))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (-. (status zenon_X4 zenon_X5 T_3)) ### All 15 % 3.02/3.20 17. ((status zenon_X4 zenon_X5 T_2) => (-. (status zenon_X4 zenon_X5 T_3))) (All C, ((status zenon_X4 C T_2) => (status zenon_X4 C T_3))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### Imply 13 16 % 3.02/3.20 18. (All C, ((status zenon_X4 C T_2) => (-. (status zenon_X4 C T_3)))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All C, ((status zenon_X4 C T_2) => (status zenon_X4 C T_3))) ### All 17 % 3.02/3.20 19. (All Ax, (All C, ((status Ax C T_2) => (-. (status Ax C T_3))))) (All C, ((status zenon_X4 C T_2) => (status zenon_X4 C T_3))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### All 18 % 3.02/3.20 20. (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All Ax, (All C, ((status Ax C T_2) => (-. (status Ax C T_3))))) ### All 19 % 3.02/3.20 21. (nevera T_2 T_3) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### Definition-Pseudo(nevera) 20 % 3.02/3.20 22. (-. (status zenon_X6 zenon_X7 T_2)) (status zenon_X6 zenon_X7 T_2) ### Axiom % 3.02/3.20 23. (-. ((status zenon_X6 zenon_X7 T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))) (-. (status zenon_X6 zenon_X7 T_2)) ### ConjTree 22 % 3.02/3.20 24. (-. (Ex C, ((status zenon_X6 C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3)))))))) (-. (status zenon_X6 zenon_X7 T_2)) ### NotExists 23 % 3.02/3.20 25. (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (-. (status zenon_X6 zenon_X7 T_2)) ### NotExists 24 % 3.02/3.20 26. (status zenon_X6 zenon_X7 T_2) (-. (status zenon_X6 zenon_X7 T_2)) ### Axiom % 3.02/3.20 27. (-. (status zenon_X6 zenon_X7 T_3)) (status zenon_X6 zenon_X7 T_3) ### Axiom % 3.02/3.20 28. ((status zenon_X6 zenon_X7 T_2) => (status zenon_X6 zenon_X7 T_3)) (-. (status zenon_X6 zenon_X7 T_3)) (status zenon_X6 zenon_X7 T_2) ### Imply 26 27 % 3.02/3.20 29. (All C, ((status zenon_X6 C T_2) => (status zenon_X6 C T_3))) (status zenon_X6 zenon_X7 T_2) (-. (status zenon_X6 zenon_X7 T_3)) ### All 28 % 3.02/3.20 30. (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) (-. (status zenon_X6 zenon_X7 T_3)) (status zenon_X6 zenon_X7 T_2) ### All 29 % 3.02/3.20 31. (-. ((status zenon_X6 zenon_X7 T_2) <=> (status zenon_X6 zenon_X7 T_3))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### NotEquiv 25 30 % 3.02/3.20 32. (All C, (-. ((status zenon_X6 C T_2) <=> (status zenon_X6 C T_3)))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### All 31 % 3.02/3.20 33. (All Ax, (All C, (-. ((status Ax C T_2) <=> (status Ax C T_3))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### All 32 % 3.02/3.20 34. (xora T_2 T_3) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### Definition-Pseudo(xora) 33 % 3.02/3.20 35. ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) (All Ax, (All C, ((status Ax C T_2) => (status Ax C T_3)))) ### DisjTree 9 21 34 % 3.02/3.20 36. (isa T_2 T_3) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))) ### Definition-Pseudo(isa) 35 % 3.02/3.20 37. (-. ((status zenon_X8 zenon_X9 T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### ConjTree 36 % 3.02/3.20 38. (-. (Ex C, ((status zenon_X8 C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3)))))))) (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### NotExists 37 % 3.02/3.20 39. (-. (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 T_3) /\ ((nota T_2 T_3) \/ ((nevera T_2 T_3) \/ (xora T_2 T_3))))))))) ### NotExists 38 % 3.02/3.20 40. (-. (All S2, (Ex Ax, (Ex C, ((status Ax C T_2) => (-. ((isa T_2 S2) /\ ((nota T_2 S2) \/ ((nevera T_2 S2) \/ (xora T_2 S2)))))))))) ### NotAllEx 39 % 3.02/3.20 41. (-. (All S1, (All S2, (Ex Ax, (Ex C, ((status Ax C S1) => (-. ((isa S1 S2) /\ ((nota S1 S2) \/ ((nevera S1 S2) \/ (xora S1 S2))))))))))) ### NotAllEx 40 % 3.02/3.20 % SZS output end Proof % 3.02/3.20 (* END-PROOF *) %------------------------------------------------------------------------------