%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET924^1 : TPTP v9.2.0. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 : 300s % DateTime : Fri Oct 3 08:00:42 PM UTC 2025 % Result : Theorem 8.54s 8.71s % Output : Proof 8.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET924^1 : TPTP v9.2.0. Released v8.1.0. % 0.13/0.13 % Command : duper %s % 0.13/0.34 % Computer : n015.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 : 300 % 0.13/0.34 % DateTime : Thu Oct 2 14:01:08 EDT 2025 % 0.13/0.34 % CPUTime : % 8.54/8.71 SZS status Theorem for theBenchmark.p % 8.54/8.71 SZS output start Proof for theBenchmark.p % 8.54/8.71 Clause #22 (by assumption #[]): Eq % 8.54/8.71 (Not % 8.54/8.71 (mlocal % 8.54/8.71 (mforall_di fun A => % 8.54/8.71 mforall_di fun B => mequiv (qmltpeq (set_difference (singleton A) B) (singleton A)) (mnot (in A B))))) % 8.54/8.71 True % 8.54/8.71 Clause #23 (by assumption #[]): Eq % 8.54/8.71 (mlocal % 8.54/8.71 (mforall_di fun A => % 8.54/8.71 mforall_di fun B => mequiv (qmltpeq (set_difference (singleton A) B) (singleton A)) (mnot (in A B)))) % 8.54/8.71 True % 8.54/8.71 Clause #936 (by clausification #[22]): Eq % 8.54/8.71 (mlocal % 8.54/8.71 (mforall_di fun A => % 8.54/8.71 mforall_di fun B => mequiv (qmltpeq (set_difference (singleton A) B) (singleton A)) (mnot (in A B)))) % 8.54/8.71 False % 8.54/8.71 Clause #993 (by superposition #[23, 936]): Eq False True % 8.54/8.71 Clause #1004 (by clausification #[993]): False % 8.54/8.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------