%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN946+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:08:17 PM UTC 2025 % Result : Theorem 4.87s 5.07s % Output : Proof 4.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN946+1 : TPTP v9.2.0. Released v3.1.0. % 0.08/0.14 % Command : duper %s % 0.14/0.35 % Computer : n014.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % 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 : Thu Oct 2 15:21:08 EDT 2025 % 0.14/0.35 % CPUTime : % 4.87/5.07 SZS status Theorem for theBenchmark.p % 4.87/5.07 SZS output start Proof for theBenchmark.p % 4.87/5.07 Clause #0 (by assumption #[]): Eq (Not (And (∀ (X : Iota), p X) (Exists fun Y => q Y) → Exists fun Z => ∀ (Y : Iota), Or (p Y) (r Z))) True % 4.87/5.07 Clause #1 (by betaEtaReduce #[0]): Eq (Not (And (∀ (X : Iota), p X) (Exists q) → Exists fun Z => ∀ (Y : Iota), Or (p Y) (r Z))) True % 4.87/5.07 Clause #2 (by clausification #[1]): Eq (And (∀ (X : Iota), p X) (Exists q) → Exists fun Z => ∀ (Y : Iota), Or (p Y) (r Z)) False % 4.87/5.07 Clause #3 (by clausification #[2]): Eq (And (∀ (X : Iota), p X) (Exists q)) True % 4.87/5.07 Clause #4 (by clausification #[2]): Eq (Exists fun Z => ∀ (Y : Iota), Or (p Y) (r Z)) False % 4.87/5.07 Clause #6 (by clausification #[3]): Eq (∀ (X : Iota), p X) True % 4.87/5.07 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (p a) True % 4.87/5.07 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), Or (p Y) (r a)) False % 4.87/5.07 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Not (Or (p (skS.0 1 a a_1)) (r a))) True % 4.87/5.07 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Or (p (skS.0 1 a a_1)) (r a)) False % 4.87/5.07 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (p (skS.0 1 a a_1)) False % 4.87/5.07 Clause #14 (by superposition #[13, 8]): Eq False True % 4.87/5.07 Clause #15 (by clausification #[14]): False % 4.87/5.07 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------