%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO270^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 08:08:50 PM UTC 2025 % Result : Theorem 3.65s 3.84s % Output : Proof 3.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYO270^5 : TPTP v9.2.0. Released v4.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.35 % Computer : n019.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 14:07:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.65/3.84 SZS status Theorem for theBenchmark.p % 3.65/3.84 SZS output start Proof for theBenchmark.p % 3.65/3.84 Clause #0 (by assumption #[]): Eq % 3.65/3.84 (Not % 3.65/3.84 (Exists fun Xx => Exists fun Xf => ∀ (Xy : Iota), And (∀ (Xz : Iota), cP Xz (Xf Xx)) (cP Xx Xy) → cP Xy (g (h Xy)))) % 3.65/3.84 True % 3.65/3.84 Clause #1 (by clausification #[0]): Eq (Exists fun Xx => Exists fun Xf => ∀ (Xy : Iota), And (∀ (Xz : Iota), cP Xz (Xf Xx)) (cP Xx Xy) → cP Xy (g (h Xy))) % 3.65/3.84 False % 3.65/3.84 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Exists fun Xf => ∀ (Xy : Iota), And (∀ (Xz : Iota), cP Xz (Xf a)) (cP a Xy) → cP Xy (g (h Xy))) False % 3.65/3.84 Clause #3 (by clausification #[2]): ∀ (a : Iota → Iota) (a_1 : Iota), % 3.65/3.84 Eq (∀ (Xy : Iota), And (∀ (Xz : Iota), cP Xz (a a_1)) (cP a_1 Xy) → cP Xy (g (h Xy))) False % 3.65/3.84 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), % 3.65/3.84 Eq % 3.65/3.84 (Not % 3.65/3.84 (And (∀ (Xz : Iota), cP Xz (a a_1)) (cP a_1 (skS.0 0 a a_1 a_2)) → % 3.65/3.84 cP (skS.0 0 a a_1 a_2) (g (h (skS.0 0 a a_1 a_2))))) % 3.65/3.84 True % 3.65/3.84 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), % 3.65/3.84 Eq % 3.65/3.84 (And (∀ (Xz : Iota), cP Xz (a a_1)) (cP a_1 (skS.0 0 a a_1 a_2)) → % 3.65/3.84 cP (skS.0 0 a a_1 a_2) (g (h (skS.0 0 a a_1 a_2)))) % 3.65/3.84 False % 3.65/3.84 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (And (∀ (Xz : Iota), cP Xz (a a_1)) (cP a_1 (skS.0 0 a a_1 a_2))) True % 3.65/3.84 Clause #7 (by clausification #[5]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (cP (skS.0 0 a a_1 a_2) (g (h (skS.0 0 a a_1 a_2)))) False % 3.65/3.84 Clause #9 (by clausification #[6]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (∀ (Xz : Iota), cP Xz (a a_1)) True % 3.65/3.84 Clause #10 (by clausification #[9]): ∀ (a : Iota) (a_1 : Iota → Iota) (a_2 : Iota), Eq (cP a (a_1 a_2)) True % 3.65/3.84 Clause #25 (by superposition #[7, 10]): Eq True False % 3.65/3.84 Clause #27 (by clausification #[25]): False % 3.65/3.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------