%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET789+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 : n014.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 05:44:00 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET789+4 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n014.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 04:45:49 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.20/0.42 2. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.20/0.42 3. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.20/0.42 4. (-. (apply T_3 T_0 T_2)) (apply T_3 T_0 T_2) ### Axiom % 0.20/0.42 5. ((member T_0 T_1) => (apply T_3 T_0 T_2)) (-. (apply T_3 T_0 T_2)) (member T_0 T_1) ### Imply 3 4 % 0.20/0.42 6. (All X, ((member X T_1) => (apply T_3 X T_2))) (member T_0 T_1) (-. (apply T_3 T_0 T_2)) ### All 5 % 0.20/0.42 7. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.20/0.42 8. (-. (apply T_3 T_2 T_0)) (apply T_3 T_2 T_0) ### Axiom % 0.20/0.42 9. ((member T_2 T_1) => (apply T_3 T_2 T_0)) (-. (apply T_3 T_2 T_0)) (member T_2 T_1) ### Imply 7 8 % 0.20/0.42 10. (All X, ((member X T_1) => (apply T_3 X T_0))) (member T_2 T_1) (-. (apply T_3 T_2 T_0)) ### All 9 % 0.20/0.42 11. (T_0 != T_2) (T_0 = T_2) ### Axiom % 0.20/0.42 12. (((member T_0 T_1) /\ (member T_2 T_1)) => (((apply T_3 T_0 T_2) /\ (apply T_3 T_2 T_0)) => (T_0 = T_2))) (T_0 != T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (All X, ((member X T_1) => (apply T_3 X T_2))) (member T_2 T_1) (member T_0 T_1) ### DisjTree 1 2 6 10 11 % 0.20/0.42 13. (All Y, (((member T_0 T_1) /\ (member Y T_1)) => (((apply T_3 T_0 Y) /\ (apply T_3 Y T_0)) => (T_0 = Y)))) (member T_0 T_1) (member T_2 T_1) (All X, ((member X T_1) => (apply T_3 X T_2))) (All X, ((member X T_1) => (apply T_3 X T_0))) (T_0 != T_2) ### All 12 % 0.20/0.42 14. (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) (T_0 != T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (All X, ((member X T_1) => (apply T_3 X T_2))) (member T_2 T_1) (member T_0 T_1) ### All 13 % 0.20/0.42 15. ((member T_2 T_1) /\ (All X, ((member X T_1) => (apply T_3 X T_2)))) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 X T_0))) (T_0 != T_2) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) ### And 14 % 0.20/0.42 16. (greatest T_2 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)) => (X = Y))))) (T_0 != T_2) (All X, ((member X T_1) => (apply T_3 X T_0))) (member T_0 T_1) ### Definition-Pseudo(greatest) 15 % 0.20/0.42 17. (-. ((greatest T_2 T_3 T_1) => (T_0 = T_2))) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 X T_0))) (All X, (All Y, (((member X T_1) /\ (member Y T_1)) => (((apply T_3 X Y) /\ (apply T_3 Y X)) => (X = Y))))) ### NotImply 16 % 0.20/0.42 18. (-. (All X, ((greatest X T_3 T_1) => (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)) => (X = Y))))) (All X, ((member X T_1) => (apply T_3 X T_0))) (member T_0 T_1) ### NotAllEx 17 % 0.20/0.42 19. ((member T_0 T_1) /\ (All X, ((member X T_1) => (apply T_3 X T_0)))) (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, ((greatest X T_3 T_1) => (T_0 = X)))) ### And 18 % 0.20/0.42 20. (greatest T_0 T_3 T_1) (-. (All X, ((greatest X T_3 T_1) => (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)) => (X = Y))))) ### Definition-Pseudo(greatest) 19 % 0.20/0.42 21. ((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, ((greatest X T_3 T_1) => (T_0 = X)))) (greatest T_0 T_3 T_1) ### ConjTree 20 % 0.20/0.42 22. (order T_3 T_1) (greatest T_0 T_3 T_1) (-. (All X, ((greatest X T_3 T_1) => (T_0 = X)))) ### Definition-Pseudo(order) 21 % 0.20/0.42 23. (-. (((order T_3 T_1) /\ (greatest T_0 T_3 T_1)) => (All X, ((greatest X T_3 T_1) => (T_0 = X))))) ### ConjTree 22 % 0.20/0.42 24. (-. (All M, (((order T_3 T_1) /\ (greatest M T_3 T_1)) => (All X, ((greatest X T_3 T_1) => (M = X)))))) ### NotAllEx 23 % 0.20/0.42 25. (-. (All E, (All M, (((order T_3 E) /\ (greatest M T_3 E)) => (All X, ((greatest X T_3 E) => (M = X))))))) ### NotAllEx 24 % 0.20/0.42 26. (-. (All R, (All E, (All M, (((order R E) /\ (greatest M R E)) => (All X, ((greatest X R E) => (M = X)))))))) ### NotAllEx 25 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------