%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM540+2 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %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 : 300s % DateTime : Fri Oct 3 07:56:41 PM UTC 2025 % Result : Theorem 57.54s 57.74s % Output : Proof 57.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM540+2 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %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 : 300 % 0.13/0.34 % DateTime : Fri Oct 3 08:18:53 EDT 2025 % 0.13/0.35 % CPUTime : % 57.54/57.74 SZS status Theorem for theBenchmark.p % 57.54/57.74 SZS output start Proof for theBenchmark.p % 57.54/57.74 Clause #51 (by assumption #[]): Eq % 57.54/57.74 (Not % 57.54/57.74 (And (aSet0 (slbdtrb0 sz00)) (∀ (W0 : Iota), Not (aElementOf0 W0 (slbdtrb0 sz00))) → % 57.54/57.74 Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtrb0 sz00))) (Eq (slbdtrb0 sz00) slcrc0))) % 57.54/57.74 True % 57.54/57.74 Clause #583 (by clausification #[51]): Eq % 57.54/57.74 (And (aSet0 (slbdtrb0 sz00)) (∀ (W0 : Iota), Not (aElementOf0 W0 (slbdtrb0 sz00))) → % 57.54/57.74 Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtrb0 sz00))) (Eq (slbdtrb0 sz00) slcrc0)) % 57.54/57.74 False % 57.54/57.74 Clause #584 (by clausification #[583]): Eq (And (aSet0 (slbdtrb0 sz00)) (∀ (W0 : Iota), Not (aElementOf0 W0 (slbdtrb0 sz00)))) True % 57.54/57.74 Clause #585 (by clausification #[583]): Eq (Or (Not (Exists fun W0 => aElementOf0 W0 (slbdtrb0 sz00))) (Eq (slbdtrb0 sz00) slcrc0)) False % 57.54/57.74 Clause #586 (by clausification #[584]): Eq (∀ (W0 : Iota), Not (aElementOf0 W0 (slbdtrb0 sz00))) True % 57.54/57.74 Clause #588 (by clausification #[586]): ∀ (a : Iota), Eq (Not (aElementOf0 a (slbdtrb0 sz00))) True % 57.54/57.74 Clause #589 (by clausification #[588]): ∀ (a : Iota), Eq (aElementOf0 a (slbdtrb0 sz00)) False % 57.54/57.74 Clause #24024 (by clausification #[585]): Eq (Not (Exists fun W0 => aElementOf0 W0 (slbdtrb0 sz00))) False % 57.54/57.74 Clause #24028 (by clausification #[24024]): Eq (Exists fun W0 => aElementOf0 W0 (slbdtrb0 sz00)) True % 57.54/57.74 Clause #24029 (by clausification #[24028]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 9 a) (slbdtrb0 sz00)) True % 57.54/57.74 Clause #24030 (by superposition #[24029, 589]): Eq True False % 57.54/57.74 Clause #24031 (by clausification #[24030]): False % 57.54/57.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------