%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO291^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 5.34s 5.54s % Output : Proof 5.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYO291^5 : TPTP v9.2.0. Released v4.0.0. % 0.00/0.10 % Command : duper %s % 0.08/0.30 % Computer : n010.cluster.edu % 0.08/0.30 % Model : x86_64 x86_64 % 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.30 % Memory : 8042.1875MB % 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.30 % CPULimit : 300 % 0.08/0.30 % WCLimit : 300 % 0.08/0.30 % DateTime : Fri Oct 3 13:42:53 EDT 2025 % 0.08/0.30 % CPUTime : % 5.34/5.54 SZS status Theorem for theBenchmark.p % 5.34/5.54 SZS output start Proof for theBenchmark.p % 5.34/5.54 Clause #0 (by assumption #[]): Eq (Not ((∀ (Xp : Iota → Prop), Xp y) → And (And (cR x) (cR (f x))) (cQ y))) True % 5.34/5.54 Clause #1 (by clausification #[0]): Eq ((∀ (Xp : Iota → Prop), Xp y) → And (And (cR x) (cR (f x))) (cQ y)) False % 5.34/5.54 Clause #2 (by clausification #[1]): Eq (∀ (Xp : Iota → Prop), Xp y) True % 5.34/5.54 Clause #4 (by clausification #[2]): ∀ (a : Iota → Prop), Eq (a y) True % 5.34/5.54 Clause #8 (by fluidSup #[4, 4]): ∀ (a : Prop), Eq ((fun _ => a) True) True % 5.34/5.54 Clause #14 (by betaEtaReduce #[8]): ∀ (a : Prop), Eq a True % 5.34/5.54 Clause #15 (by falseElim #[14]): False % 5.34/5.54 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------