%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO286^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 08:08:51 PM UTC 2025 % Result : Theorem 3.69s 3.89s % Output : Proof 3.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYO286^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.15 % Command : duper %s % 0.14/0.36 % Computer : n025.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 13:26:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.69/3.89 SZS status Theorem for theBenchmark.p % 3.69/3.89 SZS output start Proof for theBenchmark.p % 3.69/3.89 Clause #0 (by assumption #[]): Eq (Not ((∀ (Xp : Iota → Prop), Xp y) → (Exists fun Xx => cR Xx) → cQ y)) True % 3.69/3.89 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (Xp : Iota → Prop), Xp y) → Exists cR → cQ y)) True % 3.69/3.89 Clause #2 (by clausification #[1]): Eq ((∀ (Xp : Iota → Prop), Xp y) → Exists cR → cQ y) False % 3.69/3.89 Clause #3 (by clausification #[2]): Eq (∀ (Xp : Iota → Prop), Xp y) True % 3.69/3.89 Clause #5 (by clausification #[3]): ∀ (a : Iota → Prop), Eq (a y) True % 3.69/3.89 Clause #9 (by fluidSup #[5, 5]): ∀ (a : Prop), Eq ((fun _ => a) True) True % 3.69/3.89 Clause #15 (by betaEtaReduce #[9]): ∀ (a : Prop), Eq a True % 3.69/3.89 Clause #16 (by falseElim #[15]): False % 3.69/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------