%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV383^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:03:07 PM UTC 2025 % Result : Theorem 3.44s 3.66s % Output : Proof 3.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEV383^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n026.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 01:24:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.44/3.66 SZS status Theorem for theBenchmark.p % 3.44/3.66 SZS output start Proof for theBenchmark.p % 3.44/3.66 Clause #0 (by assumption #[]): Eq (Not (Exists fun A => Not (A a))) True % 3.44/3.66 Clause #1 (by clausification #[0]): Eq (Exists fun A => Not (A a)) False % 3.44/3.66 Clause #2 (by clausification #[1]): ∀ (a_1 : Iota → Prop), Eq (Not (a_1 a)) False % 3.44/3.66 Clause #3 (by clausification #[2]): ∀ (a_1 : Iota → Prop), Eq (a_1 a) True % 3.44/3.66 Clause #7 (by fluidSup #[3, 3]): ∀ (a : Prop), Eq ((fun _ => a) True) True % 3.44/3.66 Clause #13 (by betaEtaReduce #[7]): ∀ (a : Prop), Eq a True % 3.44/3.66 Clause #14 (by falseElim #[13]): False % 3.44/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------