%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 : Thu Jul 21 12:47:24 EDT 2022 % Result : Theorem 0.18s 0.41s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN940+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n021.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 Jul 12 06:23:54 EDT 2022 % 0.12/0.34 % CPUTime : % 0.18/0.41 % SZS status Theorem % 0.18/0.41 (* PROOF-FOUND *) % 0.18/0.41 (* BEGIN-PROOF *) % 0.18/0.41 % SZS output start Proof % 0.18/0.41 1. (-. (p (f zenon_X0))) (p (f zenon_X0)) ### Axiom % 0.18/0.41 2. (-. ((p (f zenon_X0)) => ((p (f zenon_X0)) /\ ((r zenon_X0) => ((r T_1) /\ (r T_2)))))) (-. (p (f zenon_X0))) ### NotImply 1 % 0.18/0.41 3. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.41 4. (-. (((p (f zenon_X0)) => ((p (f zenon_X0)) /\ ((r zenon_X0) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (-. (p (f zenon_X0))) ### NotAnd 2 3 % 0.18/0.41 5. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (p (f zenon_X0))) (q (f zenon_X0)) ### NotExists 4 % 0.18/0.41 6. (p (f T_1)) (-. (p (f T_1))) ### Axiom % 0.18/0.41 7. (-. (r T_1)) (r T_1) ### Axiom % 0.18/0.41 8. (-. ((r T_1) => ((r T_1) /\ (r T_2)))) (-. (r T_1)) ### NotImply 7 % 0.18/0.41 9. (-. ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) (-. (r T_1)) (p (f T_1)) ### NotAnd 6 8 % 0.18/0.41 10. (-. ((p (f T_1)) => ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2)))))) (p (f T_1)) (-. (r T_1)) ### NotImply 9 % 0.18/0.41 11. (q (f T_1)) (-. (q (f T_1))) ### Axiom % 0.18/0.41 12. (-. (((p (f T_1)) => ((p (f T_1)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) /\ (q (f T_1)))) (q (f T_1)) (-. (r T_1)) (p (f T_1)) ### NotAnd 10 11 % 0.18/0.41 13. (-. (Ex Y, (((p (f Y)) => ((p (f T_1)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f T_1))))) (p (f T_1)) (-. (r T_1)) (q (f T_1)) ### NotExists 12 % 0.18/0.41 14. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f T_1)) (-. (r T_1)) (p (f T_1)) ### NotExists 13 % 0.18/0.41 15. (All Z, (q (f Z))) (p (f T_1)) (-. (r T_1)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### All 14 % 0.18/0.41 16. (-. ((p (f T_1)) => ((p (f zenon_X0)) /\ ((r T_1) => ((r T_1) /\ (r T_2)))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_1)) (All Z, (q (f Z))) ### NotImply 15 % 0.18/0.41 17. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.41 18. (-. (((p (f T_1)) => ((p (f zenon_X0)) /\ ((r T_1) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (r T_1)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### NotAnd 16 17 % 0.18/0.41 19. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_1)) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotExists 18 % 0.18/0.41 20. (p (f T_2)) (-. (p (f T_2))) ### Axiom % 0.18/0.41 21. (-. (r T_2)) (r T_2) ### Axiom % 0.18/0.41 22. (-. ((r T_2) => ((r T_1) /\ (r T_2)))) (-. (r T_2)) ### NotImply 21 % 0.18/0.41 23. (-. ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) (-. (r T_2)) (p (f T_2)) ### NotAnd 20 22 % 0.18/0.41 24. (-. ((p (f T_2)) => ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2)))))) (p (f T_2)) (-. (r T_2)) ### NotImply 23 % 0.18/0.41 25. (q (f T_2)) (-. (q (f T_2))) ### Axiom % 0.18/0.41 26. (-. (((p (f T_2)) => ((p (f T_2)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) /\ (q (f T_2)))) (q (f T_2)) (-. (r T_2)) (p (f T_2)) ### NotAnd 24 25 % 0.18/0.41 27. (-. (Ex Y, (((p (f Y)) => ((p (f T_2)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f T_2))))) (p (f T_2)) (-. (r T_2)) (q (f T_2)) ### NotExists 26 % 0.18/0.41 28. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f T_2)) (-. (r T_2)) (p (f T_2)) ### NotExists 27 % 0.18/0.41 29. (All Z, (q (f Z))) (p (f T_2)) (-. (r T_2)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### All 28 % 0.18/0.41 30. (-. ((p (f T_2)) => ((p (f zenon_X0)) /\ ((r T_2) => ((r T_1) /\ (r T_2)))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_2)) (All Z, (q (f Z))) ### NotImply 29 % 0.18/0.41 31. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.41 32. (-. (((p (f T_2)) => ((p (f zenon_X0)) /\ ((r T_2) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (r T_2)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) ### NotAnd 30 31 % 0.18/0.41 33. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (r T_2)) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotExists 32 % 0.18/0.41 34. (-. ((r T_1) /\ (r T_2))) (q (f zenon_X0)) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 19 33 % 0.18/0.41 35. (-. ((r zenon_X3) => ((r T_1) /\ (r T_2)))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) (q (f zenon_X0)) ### NotImply 34 % 0.18/0.41 36. (-. ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2))))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 5 35 % 0.18/0.41 37. (-. ((p (f zenon_X3)) => ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2)))))) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### NotImply 36 % 0.18/0.41 38. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.41 39. (-. (((p (f zenon_X3)) => ((p (f zenon_X0)) /\ ((r zenon_X3) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0)))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) ### NotAnd 37 38 % 0.18/0.41 40. (-. (Ex Y, (((p (f Y)) => ((p (f zenon_X0)) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q (f zenon_X0))))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### NotExists 39 % 0.18/0.41 41. (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (q (f zenon_X0)) ### NotExists 40 % 0.18/0.41 42. (-. (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X))))) (All Z, (q (f Z))) ### All 41 % 0.18/0.41 43. (-. ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r T_2))))) /\ (q X)))))) ### NotImply 42 % 0.18/0.41 44. (-. (All C, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r T_1) /\ (r C))))) /\ (q X))))))) ### NotAllEx 43 % 0.18/0.41 45. (-. (All B, (All C, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => ((p X) /\ ((r Y) => ((r B) /\ (r C))))) /\ (q X)))))))) ### NotAllEx 44 % 0.18/0.41 % SZS output end Proof % 0.18/0.41 (* END-PROOF *) %------------------------------------------------------------------------------