%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU123+2 : 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 : n008.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 0.19s 0.44s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jun 19 17:01:37 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.44 % SZS status Theorem % 0.19/0.44 (* PROOF-FOUND *) % 0.19/0.44 (* BEGIN-PROOF *) % 0.19/0.44 % SZS output start Proof % 0.19/0.44 1. (All C, ((in C (empty_set)) => (in C T_0))) (-. (All C, ((in C (empty_set)) => (in C T_0)))) ### Axiom % 0.19/0.44 2. (-. (subset (empty_set) T_0)) (All C, ((in C (empty_set)) => (in C T_0))) ### Definition-Pseudo(subset) 1 % 0.19/0.44 3. (All C, ((in C T_0) => (in C (empty_set)))) (-. (All C, ((in C T_0) => (in C (empty_set))))) ### Axiom % 0.19/0.44 4. (-. (subset T_0 (empty_set))) (All C, ((in C T_0) => (in C (empty_set)))) ### Definition-Pseudo(subset) 3 % 0.19/0.44 5. (-. ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (All C, ((in C T_0) => (in C (empty_set)))) (All C, ((in C (empty_set)) => (in C T_0))) ### NotAnd 2 4 % 0.19/0.44 6. (T_0 != (empty_set)) ((empty_set) = T_0) ### Sym(=) % 0.19/0.44 7. (((empty_set) = T_0) <=> ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (T_0 != (empty_set)) (All C, ((in C (empty_set)) => (in C T_0))) (All C, ((in C T_0) => (in C (empty_set)))) ### Equiv 5 6 % 0.19/0.44 8. (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (All C, ((in C T_0) => (in C (empty_set)))) (All C, ((in C (empty_set)) => (in C T_0))) (T_0 != (empty_set)) ### All 7 % 0.19/0.44 9. (subset (empty_set) T_0) (T_0 != (empty_set)) (All C, ((in C T_0) => (in C (empty_set)))) (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) ### Definition-Pseudo(subset) 8 % 0.19/0.44 10. (All A, (subset (empty_set) A)) (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (All C, ((in C T_0) => (in C (empty_set)))) (T_0 != (empty_set)) ### All 9 % 0.19/0.44 11. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != (empty_set)) (All C, ((in C T_0) => (in C (empty_set)))) (All A, (subset (empty_set) A)) ### All 10 % 0.19/0.44 12. (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) (T_0 != (empty_set)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### Definition-Pseudo(subset) 11 % 0.19/0.44 13. (-. ((subset T_0 (empty_set)) => (T_0 = (empty_set)))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (subset (empty_set) A)) ### NotImply 12 % 0.19/0.44 14. (-. (All A, ((subset A (empty_set)) => (A = (empty_set))))) (All A, (subset (empty_set) A)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 13 % 0.19/0.44 % SZS output end Proof % 0.19/0.44 (* END-PROOF *) %------------------------------------------------------------------------------