%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n006.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 14:48:27 EDT 2022 % Result : Theorem 0.18s 0.39s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n006.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 Jun 20 05:36:55 EDT 2022 % 0.13/0.33 % CPUTime : % 0.18/0.39 % SZS status Theorem % 0.18/0.39 (* PROOF-FOUND *) % 0.18/0.39 (* BEGIN-PROOF *) % 0.18/0.39 % SZS output start Proof % 0.18/0.39 1. (-. (subset (empty_set) T_0)) (subset (empty_set) T_0) ### Axiom % 0.18/0.39 2. (All A, (subset (empty_set) A)) (-. (subset (empty_set) T_0)) ### All 1 % 0.18/0.39 3. (subset T_0 (empty_set)) (-. (subset T_0 (empty_set))) ### Axiom % 0.18/0.39 4. (-. ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) ### NotAnd 2 3 % 0.18/0.39 5. (T_0 != (empty_set)) ((empty_set) = T_0) ### Sym(=) % 0.18/0.39 6. (((empty_set) = T_0) <=> ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (T_0 != (empty_set)) (All A, (subset (empty_set) A)) (subset T_0 (empty_set)) ### Equiv 4 5 % 0.18/0.39 7. (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) (T_0 != (empty_set)) ### All 6 % 0.18/0.39 8. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != (empty_set)) (All A, (subset (empty_set) A)) (subset T_0 (empty_set)) ### All 7 % 0.18/0.39 9. (-. ((subset T_0 (empty_set)) => (T_0 = (empty_set)))) (All A, (subset (empty_set) A)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotImply 8 % 0.18/0.39 10. (-. (All A, ((subset A (empty_set)) => (A = (empty_set))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (subset (empty_set) A)) ### NotAllEx 9 % 0.18/0.39 % SZS output end Proof % 0.18/0.39 (* END-PROOF *) %------------------------------------------------------------------------------