%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN340+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 08:07:26 PM UTC 2025 % Result : Theorem 5.03s 5.22s % Output : Proof 5.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN340+1 : TPTP v9.2.0. Released v2.0.0. % 0.12/0.15 % Command : duper %s % 0.13/0.36 % Computer : n007.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 15:45:23 EDT 2025 % 0.13/0.36 % CPUTime : % 5.03/5.22 SZS status Theorem for theBenchmark.p % 5.03/5.22 SZS output start Proof for theBenchmark.p % 5.03/5.22 Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f X Y Z1 Z2 Z1 → big_f Z1 X Y Z1 Z2)) True % 5.03/5.22 Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f X Y Z1 Z2 Z1 → big_f Z1 X Y Z1 Z2) False % 5.03/5.22 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Exists fun Z1 => Exists fun Z2 => big_f a Y Z1 Z2 Z1 → big_f Z1 a Y Z1 Z2) False % 5.03/5.22 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), % 5.03/5.22 Eq (Not (Exists fun Z1 => Exists fun Z2 => big_f a (skS.0 0 a a_1) Z1 Z2 Z1 → big_f Z1 a (skS.0 0 a a_1) Z1 Z2)) True % 5.03/5.22 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 5.03/5.22 Eq (Exists fun Z1 => Exists fun Z2 => big_f a (skS.0 0 a a_1) Z1 Z2 Z1 → big_f Z1 a (skS.0 0 a a_1) Z1 Z2) False % 5.03/5.22 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), % 5.03/5.22 Eq (Exists fun Z2 => big_f a (skS.0 0 a a_1) a_2 Z2 a_2 → big_f a_2 a (skS.0 0 a a_1) a_2 Z2) False % 5.03/5.22 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a a_1) a_2 a_3 a_2 → big_f a_2 a (skS.0 0 a a_1) a_2 a_3) False % 5.03/5.22 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a (skS.0 0 a a_1) a_2 a_3 a_2) True % 5.03/5.22 Clause #8 (by clausification #[6]): ∀ (a a_1 a_2 a_3 : Iota), Eq (big_f a a_1 (skS.0 0 a_1 a_2) a a_3) False % 5.03/5.22 Clause #9 (by superposition #[8, 7]): Eq False True % 5.03/5.22 Clause #10 (by clausification #[9]): False % 5.03/5.22 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------