%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET065+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 : n004.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 05:38:54 EDT 2022 % Result : Theorem 1.51s 1.69s % Output : Proof 1.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 23:57:52 EDT 2022 % 0.13/0.34 % CPUTime : % 1.51/1.69 % SZS status Theorem % 1.51/1.69 (* PROOF-FOUND *) % 1.51/1.69 (* BEGIN-PROOF *) % 1.51/1.69 % SZS output start Proof % 1.51/1.69 1. (member (null_class) T_0) (-. (member (null_class) T_0)) ### Axiom % 1.51/1.69 2. (-. (member (null_class) (universal_class))) (member (null_class) (universal_class)) ### Axiom % 1.51/1.69 3. ((member (null_class) T_0) => (member (null_class) (universal_class))) (-. (member (null_class) (universal_class))) (member (null_class) T_0) ### Imply 1 2 % 1.51/1.69 4. (All U, ((member U T_0) => (member U (universal_class)))) (member (null_class) T_0) (-. (member (null_class) (universal_class))) ### All 3 % 1.51/1.69 5. (subclass T_0 (universal_class)) (-. (member (null_class) (universal_class))) (member (null_class) T_0) ### Definition-Pseudo(subclass) 4 % 1.51/1.69 6. (All X, (subclass X (universal_class))) (member (null_class) T_0) (-. (member (null_class) (universal_class))) ### All 5 % 1.51/1.69 7. ((member (null_class) T_0) /\ (subclass (image (successor_relation) T_0) T_0)) (-. (member (null_class) (universal_class))) (All X, (subclass X (universal_class))) ### And 6 % 1.51/1.69 8. (inductive T_0) (All X, (subclass X (universal_class))) (-. (member (null_class) (universal_class))) ### Definition-Pseudo(inductive) 7 % 1.51/1.69 9. ((member T_0 (universal_class)) /\ ((inductive T_0) /\ (All Y, ((inductive Y) => (subclass T_0 Y))))) (-. (member (null_class) (universal_class))) (All X, (subclass X (universal_class))) ### ConjTree 8 % 1.51/1.69 10. (Ex X, ((member X (universal_class)) /\ ((inductive X) /\ (All Y, ((inductive Y) => (subclass X Y)))))) (All X, (subclass X (universal_class))) (-. (member (null_class) (universal_class))) ### Exists 9 % 1.51/1.69 % SZS output end Proof % 1.51/1.69 (* END-PROOF *) %------------------------------------------------------------------------------