%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN961+1 : TPTP v9.2.0. Released v3.1.0. % 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 08:08:19 PM UTC 2025 % Result : Theorem 5.55s 5.76s % Output : Proof 5.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYN961+1 : TPTP v9.2.0. Released v3.1.0. % 0.10/0.12 % Command : duper %s % 0.11/0.32 % Computer : n025.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Oct 2 15:37:23 EDT 2025 % 0.11/0.32 % CPUTime : % 5.55/5.76 SZS status Theorem for theBenchmark.p % 5.55/5.76 SZS output start Proof for theBenchmark.p % 5.55/5.76 Clause #0 (by assumption #[]): Eq (Not (∀ (A B : Iota), (∀ (X : Iota), p X) → And (p A) (p B))) True % 5.55/5.76 Clause #1 (by clausification #[0]): Eq (∀ (A B : Iota), (∀ (X : Iota), p X) → And (p A) (p B)) False % 5.55/5.76 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), (∀ (X : Iota), p X) → And (p (skS.0 0 a)) (p B))) True % 5.55/5.76 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (X : Iota), p X) → And (p (skS.0 0 a)) (p B)) False % 5.55/5.76 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Not ((∀ (X : Iota), p X) → And (p (skS.0 0 a)) (p (skS.0 1 a a_1)))) True % 5.55/5.76 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq ((∀ (X : Iota), p X) → And (p (skS.0 0 a)) (p (skS.0 1 a a_1))) False % 5.55/5.76 Clause #6 (by clausification #[5]): Eq (∀ (X : Iota), p X) True % 5.55/5.76 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (And (p (skS.0 0 a)) (p (skS.0 1 a a_1))) False % 5.55/5.76 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (p a) True % 5.55/5.76 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (p (skS.0 0 a)) False) (Eq (p (skS.0 1 a a_1)) False) % 5.55/5.76 Clause #10 (by forward demodulation #[9, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (p (skS.0 1 a a_1)) False) % 5.55/5.76 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (p (skS.0 1 a a_1)) False % 5.55/5.76 Clause #12 (by superposition #[11, 8]): Eq False True % 5.55/5.76 Clause #13 (by clausification #[12]): False % 5.55/5.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------