%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN338+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 4.76s 4.96s % Output : Proof 4.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : SYN338+1 : TPTP v9.2.0. Released v2.0.0. % 0.12/0.15 % Command : duper %s % 0.14/0.36 % Computer : n021.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 15:21:08 EDT 2025 % 0.14/0.36 % CPUTime : % 4.76/4.96 SZS status Theorem for theBenchmark.p % 4.76/4.96 SZS output start Proof for theBenchmark.p % 4.76/4.96 Clause #0 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Y : Iota), Exists fun Z => big_f X Y → big_f Z X → big_f Y Y)) True % 4.76/4.96 Clause #1 (by clausification #[0]): Eq (Exists fun X => ∀ (Y : Iota), Exists fun Z => big_f X Y → big_f Z X → big_f Y Y) False % 4.76/4.96 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Exists fun Z => big_f a Y → big_f Z a → big_f Y Y) False % 4.76/4.96 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), % 4.76/4.96 Eq (Not (Exists fun Z => big_f a (skS.0 0 a a_1) → big_f Z a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1))) True % 4.76/4.96 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Exists fun Z => big_f a (skS.0 0 a a_1) → big_f Z a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False % 4.76/4.96 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), Eq (big_f a (skS.0 0 a a_1) → big_f a_2 a → big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False % 4.76/4.96 Clause #7 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq (big_f a a_1 → big_f (skS.0 0 a_1 a_2) (skS.0 0 a_1 a_2)) False % 4.76/4.96 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (big_f a a_1) True % 4.76/4.96 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (big_f (skS.0 0 a a_1) (skS.0 0 a a_1)) False % 4.76/4.96 Clause #10 (by superposition #[9, 8]): Eq False True % 4.76/4.96 Clause #11 (by clausification #[10]): False % 4.76/4.96 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------