%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n023.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 05:39:31 EDT 2022 % Result : Theorem 30.25s 30.45s % Output : Proof 30.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SET108+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n023.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 10:02:40 EDT 2022 % 0.13/0.33 % CPUTime : % 30.25/30.45 % SZS status Theorem % 30.25/30.45 (* PROOF-FOUND *) % 30.25/30.45 (* BEGIN-PROOF *) % 30.25/30.45 % SZS output start Proof % 30.25/30.45 1. ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) (-. ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1))))) ### Axiom % 30.25/30.45 2. (-. (((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_0 = T_2) /\ (T_1 = T_2))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotOr 1 % 30.25/30.45 3. (-. (Ex V, (((member T_0 (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair T_0 V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_0 = T_2) /\ (V = T_2)))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotExists 2 % 30.25/30.45 4. (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ((member T_0 (universal_class)) /\ ((member T_1 (universal_class)) /\ (T_2 = (ordered_pair T_0 T_1)))) ### NotExists 3 % 30.25/30.45 5. (Ex Z, ((member T_0 (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair T_0 Z))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### Exists 4 % 30.25/30.45 6. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z)))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### Exists 5 % 30.25/30.45 7. (T_2 != T_2) ### Refl(=) % 30.25/30.45 8. (T_2 != T_2) ### Refl(=) % 30.25/30.45 9. (-. ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (T_2 = T_2)))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### DisjTree 6 7 8 % 30.25/30.45 10. (-. (((member T_2 (universal_class)) /\ ((member T_2 (universal_class)) /\ (T_2 = (ordered_pair T_2 T_2)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (T_2 = T_2))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotOr 9 % 30.25/30.45 11. (-. (Ex V, (((member T_2 (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair T_2 V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((T_2 = T_2) /\ (V = T_2)))))) (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotExists 10 % 30.25/30.45 12. (-. (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (T_2 = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (T_2 = (ordered_pair Y Z))))))) /\ ((U = T_2) /\ (V = T_2))))))) ### NotExists 11 % 30.25/30.45 13. (-. (All X, (Ex U, (Ex V, (((member U (universal_class)) /\ ((member V (universal_class)) /\ (X = (ordered_pair U V)))) \/ ((-. (Ex Y, (Ex Z, ((member Y (universal_class)) /\ ((member Z (universal_class)) /\ (X = (ordered_pair Y Z))))))) /\ ((U = X) /\ (V = X)))))))) ### NotAllEx 12 % 30.25/30.45 % SZS output end Proof % 30.25/30.45 (* END-PROOF *) %------------------------------------------------------------------------------