%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN980+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 : n022.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 12:47:39 EDT 2022 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN980+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 : n022.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 : Mon Jul 11 13:55:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 1. (r T_0) (-. (r T_0)) ### Axiom % 0.12/0.40 2. (-. ((r T_0) => (r T_0))) (r T_0) ### NotImply 1 % 0.12/0.40 3. (p (f T_0) T_0) (-. (p (f T_0) T_0)) ### Axiom % 0.12/0.40 4. (-. (q (f T_0) T_0)) (q (f T_0) T_0) ### Axiom % 0.12/0.40 5. (-. ((q (f T_0) T_0) => (q (f T_0) T_0))) ### NotImply 4 % 0.12/0.40 6. (-. ((p (f T_0) T_0) /\ ((q (f T_0) T_0) => (q (f T_0) T_0)))) (p (f T_0) T_0) ### NotAnd 3 5 % 0.12/0.40 7. (-. (Ex Y, ((p (f T_0) Y) /\ ((q (f T_0) T_0) => (q (f T_0) Y))))) (p (f T_0) T_0) ### NotExists 6 % 0.12/0.40 8. (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (p (f T_0) T_0) ### NotExists 7 % 0.12/0.40 9. (((r T_0) => (r T_0)) => (p (f T_0) T_0)) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (r T_0) ### Imply 2 8 % 0.12/0.40 10. (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (r T_0) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) ### All 9 % 0.12/0.40 11. (-. ((r T_0) => (r zenon_X1))) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) ### NotImply 10 % 0.12/0.40 12. (p (f zenon_X1) zenon_X1) (-. (p (f zenon_X1) zenon_X1)) ### Axiom % 0.12/0.40 13. (-. (r T_0)) (r T_0) ### Axiom % 0.12/0.40 14. (-. ((r T_0) => (r T_0))) ### NotImply 13 % 0.12/0.40 15. (-. (p (f T_0) T_0)) (p (f T_0) T_0) ### Axiom % 0.12/0.40 16. (((r T_0) => (r T_0)) => (p (f T_0) T_0)) (-. (p (f T_0) T_0)) ### Imply 14 15 % 0.12/0.40 17. (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (-. (p (f T_0) T_0)) ### All 16 % 0.12/0.40 18. (q (f T_0) T_0) (-. (q (f T_0) T_0)) ### Axiom % 0.12/0.40 19. (-. ((q (f T_0) T_0) => (q (f T_0) T_0))) (q (f T_0) T_0) ### NotImply 18 % 0.12/0.40 20. (-. ((p (f T_0) T_0) /\ ((q (f T_0) T_0) => (q (f T_0) T_0)))) (q (f T_0) T_0) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) ### NotAnd 17 19 % 0.12/0.40 21. (-. (Ex Y, ((p (f T_0) Y) /\ ((q (f T_0) T_0) => (q (f T_0) Y))))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (q (f T_0) T_0) ### NotExists 20 % 0.12/0.40 22. (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (q (f T_0) T_0) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) ### NotExists 21 % 0.12/0.40 23. (-. ((q (f T_0) T_0) => (q (f zenon_X1) zenon_X1))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) ### NotImply 22 % 0.12/0.40 24. (-. ((p (f zenon_X1) zenon_X1) /\ ((q (f T_0) T_0) => (q (f zenon_X1) zenon_X1)))) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (p (f zenon_X1) zenon_X1) ### NotAnd 12 23 % 0.12/0.40 25. (-. (Ex Y, ((p (f zenon_X1) Y) /\ ((q (f T_0) T_0) => (q (f zenon_X1) Y))))) (p (f zenon_X1) zenon_X1) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) ### NotExists 24 % 0.12/0.40 26. (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (p (f zenon_X1) zenon_X1) ### NotExists 25 % 0.12/0.40 27. (((r T_0) => (r zenon_X1)) => (p (f zenon_X1) zenon_X1)) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) ### Imply 11 26 % 0.12/0.40 28. (-. (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y)))))) (All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) ### All 27 % 0.12/0.40 29. (-. ((All Y, (((r T_0) => (r Y)) => (p (f Y) Y))) => (Ex X, (Ex Y, ((p X Y) /\ ((q (f T_0) T_0) => (q X Y))))))) ### NotImply 28 % 0.12/0.40 30. (-. (All B, ((All Y, (((r B) => (r Y)) => (p (f Y) Y))) => (Ex X, (Ex Y, ((p X Y) /\ ((q (f B) B) => (q X Y)))))))) ### NotAllEx 29 % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) %------------------------------------------------------------------------------