%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN939+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 : n004.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 0.39s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n004.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Tue Jul 12 05:56:52 EDT 2022 % 0.12/0.32 % CPUTime : % 0.18/0.39 % SZS status Theorem % 0.18/0.39 (* PROOF-FOUND *) % 0.18/0.39 (* BEGIN-PROOF *) % 0.18/0.39 % SZS output start Proof % 0.18/0.39 1. (-. (p (f zenon_X0))) (p (f zenon_X0)) ### Axiom % 0.18/0.39 2. (-. ((p (f zenon_X0)) => (p (f zenon_X0)))) (-. (p (f zenon_X0))) ### NotImply 1 % 0.18/0.39 3. (-. (p (f T_1))) (p (f T_1)) ### Axiom % 0.18/0.39 4. (-. ((p (f T_1)) => (p (f T_1)))) ### NotImply 3 % 0.18/0.39 5. (-. (r T_1)) (r T_1) ### Axiom % 0.18/0.39 6. (-. ((r T_1) => ((r T_1) /\ (r T_2)))) (-. (r T_1)) ### NotImply 5 % 0.18/0.39 7. (q (f T_1)) (-. (q (f T_1))) ### Axiom % 0.18/0.39 8. (-. (((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)) ### DisjTree 4 6 7 % 0.18/0.39 9. (-. (Ex Y, (((p (f Y)) => (p (f T_1))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f T_1)))))) (-. (r T_1)) (q (f T_1)) ### NotExists 8 % 0.18/0.39 10. (-. (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)) ### NotExists 9 % 0.18/0.39 11. (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)))))) ### All 10 % 0.18/0.39 12. (-. (p (f T_2))) (p (f T_2)) ### Axiom % 0.18/0.39 13. (-. ((p (f T_2)) => (p (f T_2)))) ### NotImply 12 % 0.18/0.39 14. (-. (r T_2)) (r T_2) ### Axiom % 0.18/0.39 15. (-. ((r T_2) => ((r T_1) /\ (r T_2)))) (-. (r T_2)) ### NotImply 14 % 0.18/0.39 16. (q (f T_2)) (-. (q (f T_2))) ### Axiom % 0.18/0.39 17. (-. (((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)) ### DisjTree 13 15 16 % 0.18/0.39 18. (-. (Ex Y, (((p (f Y)) => (p (f T_2))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f T_2)))))) (-. (r T_2)) (q (f T_2)) ### NotExists 17 % 0.18/0.39 19. (-. (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)) ### NotExists 18 % 0.18/0.39 20. (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)))))) ### All 19 % 0.18/0.39 21. (-. ((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)))))) (All Z, (q (f Z))) ### NotAnd 11 20 % 0.18/0.39 22. (-. ((r zenon_X0) => ((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)))))) ### NotImply 21 % 0.18/0.39 23. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.39 24. (-. (((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)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) (-. (p (f zenon_X0))) ### DisjTree 2 22 23 % 0.18/0.39 25. (-. (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))) (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 24 % 0.18/0.39 26. (-. ((p (f zenon_X3)) => (p (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))) (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) ### NotImply 25 % 0.18/0.39 27. (-. ((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)))))) ### NotImply 21 % 0.18/0.39 28. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom % 0.18/0.39 29. (-. (((p (f zenon_X3)) => (p (f zenon_X0))) /\ (((r zenon_X3) => ((r T_1) /\ (r T_2))) /\ (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)))))) (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)) ### DisjTree 26 27 28 % 0.18/0.39 30. (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))) (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) ### NotExists 29 % 0.18/0.39 31. (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 30 % 0.18/0.39 32. (-. (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 31 % 0.18/0.39 33. (-. ((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 32 % 0.18/0.39 34. (-. (All B, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r B) /\ (r T_2))) /\ (q X)))))))) ### NotAllEx 33 % 0.18/0.39 35. (-. (All C, (All B, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r B) /\ (r C))) /\ (q X))))))))) ### NotAllEx 34 % 0.18/0.39 % SZS output end Proof % 0.18/0.39 (* END-PROOF *) %------------------------------------------------------------------------------