%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET792+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 : n016.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 0.41s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n016.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 05:49:11 EDT 2022 % 0.12/0.33 % 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. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.41 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.41 3. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.18/0.41 4. (member T_2 T_1) (-. (member T_2 T_1)) ### Axiom % 0.18/0.41 5. (-. (apply T_3 T_0 T_2)) (apply T_3 T_0 T_2) ### Axiom % 0.18/0.41 6. ((member T_2 T_1) => (apply T_3 T_0 T_2)) (-. (apply T_3 T_0 T_2)) (member T_2 T_1) ### Imply 4 5 % 0.18/0.41 7. (All X, ((member X T_1) => (apply T_3 T_0 X))) (member T_2 T_1) (-. (apply T_3 T_0 T_2)) ### All 6 % 0.18/0.41 8. (apply T_3 T_2 T_0) (-. (apply T_3 T_2 T_0)) ### Axiom % 0.18/0.41 9. (T_0 != T_2) (T_0 = T_2) ### Axiom % 0.18/0.41 10. (((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) (apply T_3 T_2 T_0) (All X, ((member X T_1) => (apply T_3 T_0 X))) (member T_2 T_1) (member T_0 T_1) ### DisjTree 2 3 7 8 9 % 0.18/0.41 11. (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 T_0 X))) (apply T_3 T_2 T_0) (T_0 != T_2) ### All 10 % 0.18/0.41 12. (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) (apply T_3 T_2 T_0) (All X, ((member X T_1) => (apply T_3 T_0 X))) (member T_2 T_1) (member T_0 T_1) ### All 11 % 0.18/0.41 13. (-. (((member T_2 T_1) /\ (apply T_3 T_2 T_0)) => (T_0 = T_2))) (member T_0 T_1) (All X, ((member X T_1) => (apply T_3 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))))) ### ConjTree 12 % 0.18/0.41 14. (-. (All X, (((member X T_1) /\ (apply T_3 X T_0)) => (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 T_0 X))) (member T_0 T_1) ### NotAllEx 13 % 0.18/0.41 15. (-. ((member T_0 T_1) /\ (All X, (((member X T_1) /\ (apply T_3 X T_0)) => (T_0 = X))))) (All X, ((member X T_1) => (apply T_3 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))))) (member T_0 T_1) ### NotAnd 1 14 % 0.18/0.41 16. (-. (min T_0 T_3 T_1)) (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)) => (X = Y))))) (All X, ((member X T_1) => (apply T_3 T_0 X))) ### Definition-Pseudo(min) 15 % 0.18/0.41 17. ((member T_0 T_1) /\ (All X, ((member X T_1) => (apply T_3 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))))) (-. (min T_0 T_3 T_1)) ### And 16 % 0.18/0.41 18. (least T_0 T_3 T_1) (-. (min 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)) => (X = Y))))) ### Definition-Pseudo(least) 17 % 0.18/0.41 19. ((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)))))))) (-. (min T_0 T_3 T_1)) (least T_0 T_3 T_1) ### ConjTree 18 % 0.18/0.41 20. (order T_3 T_1) (least T_0 T_3 T_1) (-. (min T_0 T_3 T_1)) ### Definition-Pseudo(order) 19 % 0.18/0.41 21. (-. (((order T_3 T_1) /\ (least T_0 T_3 T_1)) => (min T_0 T_3 T_1))) ### ConjTree 20 % 0.18/0.41 22. (-. (All M, (((order T_3 T_1) /\ (least M T_3 T_1)) => (min M T_3 T_1)))) ### NotAllEx 21 % 0.18/0.41 23. (-. (All E, (All M, (((order T_3 E) /\ (least M T_3 E)) => (min M T_3 E))))) ### NotAllEx 22 % 0.18/0.41 24. (-. (All R, (All E, (All M, (((order R E) /\ (least M R E)) => (min M R E)))))) ### NotAllEx 23 % 0.18/0.41 % SZS output end Proof % 0.18/0.41 (* END-PROOF *) %------------------------------------------------------------------------------