%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0. % 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 : Tue Jul 19 05:44:01 EDT 2022 % Result : Theorem 0.18s 0.42s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n026.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 : Sun Jul 10 02:22:26 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.42 % SZS status Theorem % 0.18/0.42 (* PROOF-FOUND *) % 0.18/0.42 (* BEGIN-PROOF *) % 0.18/0.42 % SZS output start Proof % 0.18/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.42 2. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.18/0.42 3. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.42 4. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.18/0.42 5. (-. (apply T_3 T_0 T_2)) (apply T_3 T_0 T_2) ### Axiom % 0.18/0.42 6. (-. (apply T_3 T_2 T_0)) (apply T_3 T_2 T_0) ### Axiom % 0.18/0.42 7. (((member T_0 T_1) /\ (member T_2 T_1)) => ((apply T_3 T_0 T_2) \/ (apply T_3 T_2 T_0))) (-. (apply T_3 T_2 T_0)) (-. (apply T_3 T_0 T_2)) (member T_2 T_1) (member T_0 T_1) ### DisjTree 3 4 5 6 % 0.18/0.42 8. (All Y, (((member T_0 T_1) /\ (member Y T_1)) => ((apply T_3 T_0 Y) \/ (apply T_3 Y T_0)))) (member T_0 T_1) (member T_2 T_1) (-. (apply T_3 T_0 T_2)) (-. (apply T_3 T_2 T_0)) ### All 7 % 0.18/0.42 9. (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (-. (apply T_3 T_2 T_0)) (-. (apply T_3 T_0 T_2)) (member T_2 T_1) (member T_0 T_1) ### All 8 % 0.18/0.42 10. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.42 11. (T_3 != T_3) ### Refl(=) % 0.18/0.42 12. (T_0 = T_2) (T_0 != T_2) ### Axiom % 0.18/0.42 13. (T_0 != T_0) ### Refl(=) % 0.18/0.42 14. (-. (apply T_3 T_2 T_0)) (apply T_3 T_0 T_0) (T_0 = T_2) ### P-NotP 11 12 13 % 0.18/0.42 15. ((member T_0 T_1) => (apply T_3 T_0 T_0)) (T_0 = T_2) (-. (apply T_3 T_2 T_0)) (member T_0 T_1) ### Imply 10 14 % 0.18/0.42 16. (All X, ((member X T_1) => (apply T_3 X X))) (member T_0 T_1) (-. (apply T_3 T_2 T_0)) (T_0 = T_2) ### All 15 % 0.18/0.42 17. (((member T_2 T_1) /\ (apply T_3 T_0 T_2)) => (T_0 = T_2)) (All X, ((member X T_1) => (apply T_3 X X))) (member T_0 T_1) (-. (apply T_3 T_2 T_0)) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (member T_2 T_1) ### DisjTree 2 9 16 % 0.18/0.42 18. (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))) (member T_2 T_1) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (-. (apply T_3 T_2 T_0)) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 X X))) ### All 17 % 0.18/0.42 19. (-. ((member T_2 T_1) => (apply T_3 T_2 T_0))) (All X, ((member X T_1) => (apply T_3 X X))) (member T_0 T_1) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))) ### NotImply 18 % 0.18/0.42 20. (-. (All X, ((member X T_1) => (apply T_3 X T_0)))) (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 X X))) ### NotAllEx 19 % 0.18/0.42 21. (-. ((member T_0 T_1) /\ (All X, ((member X T_1) => (apply T_3 X T_0))))) (All X, ((member X T_1) => (apply T_3 X X))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))) (member T_0 T_1) ### NotAnd 1 20 % 0.18/0.42 22. (-. (greatest T_0 T_3 T_1)) (member T_0 T_1) (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (All X, ((member X T_1) => (apply T_3 X X))) ### Definition-Pseudo(greatest) 21 % 0.18/0.42 23. ((member T_0 T_1) /\ (All X, (((member X T_1) /\ (apply T_3 T_0 X)) => (T_0 = X)))) (All X, ((member X T_1) => (apply T_3 X X))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (-. (greatest T_0 T_3 T_1)) ### And 22 % 0.18/0.42 24. (max T_0 T_3 T_1) (-. (greatest T_0 T_3 T_1)) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (All X, ((member X T_1) => (apply T_3 X X))) ### Definition-Pseudo(max) 23 % 0.18/0.42 25. ((All X, ((member X T_1) => (apply T_3 X X))) /\ ((All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) /\ (All X, (All Y, (All Z, (((member X T_1) /\ ((member Y T_1) /\ (member Z T_1))) => (((apply T_3 X Y) /\ (apply T_3 Y Z)) => (apply T_3 X Z)))))))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) (-. (greatest T_0 T_3 T_1)) (max T_0 T_3 T_1) ### ConjTree 24 % 0.18/0.42 26. (order T_3 T_1) (max T_0 T_3 T_1) (-. (greatest T_0 T_3 T_1)) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X))))) ### Definition-Pseudo(order) 25 % 0.18/0.42 27. ((order T_3 T_1) /\ (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => ((apply T_3 X Y) \/ (apply T_3 Y X)))))) (-. (greatest T_0 T_3 T_1)) (max T_0 T_3 T_1) ### And 26 % 0.18/0.42 28. (total_order T_3 T_1) (max T_0 T_3 T_1) (-. (greatest T_0 T_3 T_1)) ### Definition-Pseudo(total_order) 27 % 0.18/0.42 29. (-. (((total_order T_3 T_1) /\ (max T_0 T_3 T_1)) => (greatest T_0 T_3 T_1))) ### ConjTree 28 % 0.18/0.42 30. (-. (All M, (((total_order T_3 T_1) /\ (max M T_3 T_1)) => (greatest M T_3 T_1)))) ### NotAllEx 29 % 0.18/0.42 31. (-. (All E, (All M, (((total_order T_3 E) /\ (max M T_3 E)) => (greatest M T_3 E))))) ### NotAllEx 30 % 0.18/0.42 32. (-. (All R, (All E, (All M, (((total_order R E) /\ (max M R E)) => (greatest M R E)))))) ### NotAllEx 31 % 0.18/0.42 % SZS output end Proof % 0.18/0.42 (* END-PROOF *) %------------------------------------------------------------------------------