%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO131^5 : 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 08:08:38 PM UTC 2025 % Result : Theorem 3.45s 3.67s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYO131^5 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 14:33:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.45/3.67 SZS status Theorem for theBenchmark.p % 3.45/3.67 SZS output start Proof for theBenchmark.p % 3.45/3.67 Clause #0 (by assumption #[]): Eq (Not (cR (g (f a)) (f (g (f a))) → Exists fun Xx => cR Xx (f Xx))) True % 3.45/3.67 Clause #1 (by clausification #[0]): Eq (cR (g (f a)) (f (g (f a))) → Exists fun Xx => cR Xx (f Xx)) False % 3.45/3.67 Clause #2 (by clausification #[1]): Eq (cR (g (f a)) (f (g (f a)))) True % 3.45/3.67 Clause #3 (by clausification #[1]): Eq (Exists fun Xx => cR Xx (f Xx)) False % 3.45/3.67 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (cR a (f a)) False % 3.45/3.67 Clause #5 (by superposition #[4, 2]): Eq False True % 3.45/3.67 Clause #6 (by clausification #[5]): False % 3.45/3.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------