%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET804+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 05:44:05 EDT 2022 % Result : Theorem 0.19s 0.43s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.35 % Computer : n016.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jul 10 13:15:26 EDT 2022 % 0.13/0.35 % CPUTime : % 0.19/0.43 % SZS status Theorem % 0.19/0.43 (* PROOF-FOUND *) % 0.19/0.43 (* BEGIN-PROOF *) % 0.19/0.43 % SZS output start Proof % 0.19/0.43 1. (T_0 != T_0) ### Refl(=) % 0.19/0.43 2. (T_0 != T_0) ### Refl(=) % 0.19/0.43 3. (T_1 != T_2) (T_2 = T_1) ### Sym(=) % 0.19/0.43 4. (member T_2 T_3) (-. (member T_2 T_3)) ### Axiom % 0.19/0.43 5. (-. (apply T_4 T_1 T_2)) (apply T_4 T_1 T_2) ### Axiom % 0.19/0.43 6. (least T_1 T_4 T_3) (-. (apply T_4 T_1 T_2)) (member T_2 T_3) ### Extension/test/least_inst 4 5 % 0.19/0.43 7. (member T_1 T_3) (-. (member T_1 T_3)) ### Axiom % 0.19/0.43 8. (min T_2 T_4 T_3) (member T_1 T_3) (member T_2 T_3) (least T_1 T_4 T_3) (T_1 != T_2) ### Extension/test/min_inst 3 6 7 % 0.19/0.43 9. (T_2 != T_0) (T_0 = T_1) (least T_1 T_4 T_3) (member T_2 T_3) (member T_1 T_3) (min T_2 T_4 T_3) ### TransEq-sym 1 2 8 % 0.19/0.43 10. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom % 0.19/0.43 11. (-. (apply T_4 T_1 T_0)) (apply T_4 T_1 T_0) ### Axiom % 0.19/0.43 12. (least T_1 T_4 T_3) (-. (apply T_4 T_1 T_0)) (member T_0 T_3) ### Extension/test/least_inst 10 11 % 0.19/0.43 13. (member T_1 T_3) (-. (member T_1 T_3)) ### Axiom % 0.19/0.43 14. (min T_0 T_4 T_3) (member T_0 T_3) (min T_2 T_4 T_3) (member T_1 T_3) (member T_2 T_3) (least T_1 T_4 T_3) (T_2 != T_0) ### Extension/test/min_inst 9 12 13 % 0.19/0.43 15. (T_2 != T_0) (least T_1 T_4 T_3) (member T_2 T_3) (member T_1 T_3) (min T_2 T_4 T_3) (min T_0 T_4 T_3) ### Extension/test/min 14 14 14 % 0.19/0.43 16. (min T_0 T_4 T_3) (min T_2 T_4 T_3) (member T_1 T_3) (least T_1 T_4 T_3) (T_2 != T_0) ### Extension/test/min 15 15 15 % 0.19/0.43 17. (T_2 != T_0) (least T_1 T_4 T_3) (min T_2 T_4 T_3) (min T_0 T_4 T_3) ### Extension/test/least 16 16 % 0.19/0.43 18. (Ex M, (least M T_4 T_3)) (min T_0 T_4 T_3) (min T_2 T_4 T_3) (T_2 != T_0) ### Exists 17 % 0.19/0.43 19. (-. (((min T_2 T_4 T_3) /\ ((min T_0 T_4 T_3) /\ (T_2 != T_0))) => (-. (Ex M, (least M T_4 T_3))))) ### ConjTree 18 % 0.19/0.43 20. (-. (All M2, (((min T_2 T_4 T_3) /\ ((min M2 T_4 T_3) /\ (T_2 != M2))) => (-. (Ex M, (least M T_4 T_3)))))) ### NotAllEx 19 % 0.19/0.43 21. (-. (All M1, (All M2, (((min M1 T_4 T_3) /\ ((min M2 T_4 T_3) /\ (M1 != M2))) => (-. (Ex M, (least M T_4 T_3))))))) ### NotAllEx 20 % 0.19/0.43 22. (-. ((order T_4 T_3) => (All M1, (All M2, (((min M1 T_4 T_3) /\ ((min M2 T_4 T_3) /\ (M1 != M2))) => (-. (Ex M, (least M T_4 T_3)))))))) ### NotImply 21 % 0.19/0.43 23. (-. (All E, ((order T_4 E) => (All M1, (All M2, (((min M1 T_4 E) /\ ((min M2 T_4 E) /\ (M1 != M2))) => (-. (Ex M, (least M T_4 E))))))))) ### NotAllEx 22 % 0.19/0.43 24. (-. (All R, (All E, ((order R E) => (All M1, (All M2, (((min M1 R E) /\ ((min M2 R E) /\ (M1 != M2))) => (-. (Ex M, (least M R E)))))))))) ### NotAllEx 23 % 0.19/0.43 % SZS output end Proof % 0.19/0.43 (* END-PROOF *) %------------------------------------------------------------------------------