%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n027.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 05:38:51 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 % 0.00/0.12 % Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n027.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 21:59:33 EDT 2022 % 0.12/0.33 % 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. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom % 0.18/0.39 2. (All B, (-. (member B (empty_set)))) (member T_0 (empty_set)) ### All 1 % 0.18/0.39 3. (-. ((member T_0 (empty_set)) => (member T_0 T_1))) (All B, (-. (member B (empty_set)))) ### NotImply 2 % 0.18/0.39 4. (-. (All D, ((member D (empty_set)) => (member D T_1)))) (All B, (-. (member B (empty_set)))) ### NotAllEx 3 % 0.18/0.39 5. (-. (subset (empty_set) T_1)) (All B, (-. (member B (empty_set)))) ### Definition-Pseudo(subset) 4 % 0.18/0.39 6. (All D, ((member D T_1) => (member D (empty_set)))) (-. (All D, ((member D T_1) => (member D (empty_set))))) ### Axiom % 0.18/0.39 7. (-. (subset T_1 (empty_set))) (All D, ((member D T_1) => (member D (empty_set)))) ### Definition-Pseudo(subset) 6 % 0.18/0.39 8. (-. ((subset (empty_set) T_1) /\ (subset T_1 (empty_set)))) (All D, ((member D T_1) => (member D (empty_set)))) (All B, (-. (member B (empty_set)))) ### NotAnd 5 7 % 0.18/0.39 9. (T_1 != (empty_set)) ((empty_set) = T_1) ### Sym(=) % 0.18/0.39 10. (((empty_set) = T_1) <=> ((subset (empty_set) T_1) /\ (subset T_1 (empty_set)))) (T_1 != (empty_set)) (All B, (-. (member B (empty_set)))) (All D, ((member D T_1) => (member D (empty_set)))) ### Equiv 8 9 % 0.18/0.39 11. (All C, (((empty_set) = C) <=> ((subset (empty_set) C) /\ (subset C (empty_set))))) (All D, ((member D T_1) => (member D (empty_set)))) (All B, (-. (member B (empty_set)))) (T_1 != (empty_set)) ### All 10 % 0.18/0.39 12. (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (T_1 != (empty_set)) (All B, (-. (member B (empty_set)))) (All D, ((member D T_1) => (member D (empty_set)))) ### All 11 % 0.18/0.39 13. (subset T_1 (empty_set)) (All B, (-. (member B (empty_set)))) (T_1 != (empty_set)) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) ### Definition-Pseudo(subset) 12 % 0.18/0.39 14. (-. ((subset T_1 (empty_set)) => (T_1 = (empty_set)))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) (All B, (-. (member B (empty_set)))) ### NotImply 13 % 0.18/0.39 15. (-. (All B, ((subset B (empty_set)) => (B = (empty_set))))) (All B, (-. (member B (empty_set)))) (All B, (All C, ((B = C) <=> ((subset B C) /\ (subset C B))))) ### NotAllEx 14 % 0.18/0.39 % SZS output end Proof % 0.18/0.39 (* END-PROOF *) %------------------------------------------------------------------------------