%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO094^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:08:35 PM UTC 2025 % Result : Theorem 3.51s 3.68s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO094^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 13:32:38 EDT 2025 % 0.19/0.34 % CPUTime : % 3.51/3.68 SZS status Theorem for theBenchmark.p % 3.51/3.68 SZS output start Proof for theBenchmark.p % 3.51/3.68 Clause #0 (by assumption #[]): Eq (Not (((Exists fun X => cR X X) → ∀ (Y : Iota), cR Y Y) → Exists fun U => ∀ (V : Iota), cR U U → cR V V)) True % 3.51/3.68 Clause #1 (by clausification #[0]): Eq (((Exists fun X => cR X X) → ∀ (Y : Iota), cR Y Y) → Exists fun U => ∀ (V : Iota), cR U U → cR V V) False % 3.51/3.68 Clause #3 (by clausification #[1]): Eq (Exists fun U => ∀ (V : Iota), cR U U → cR V V) False % 3.51/3.68 Clause #7 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (V : Iota), cR a a → cR V V) False % 3.51/3.68 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (Not (cR a a → cR (skS.0 0 a a_1) (skS.0 0 a a_1))) True % 3.51/3.68 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (cR a a → cR (skS.0 0 a a_1) (skS.0 0 a a_1)) False % 3.51/3.68 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (cR a a) True % 3.51/3.68 Clause #11 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (cR (skS.0 0 a a_1) (skS.0 0 a a_1)) False % 3.51/3.68 Clause #12 (by superposition #[11, 10]): Eq False True % 3.51/3.68 Clause #13 (by clausification #[12]): False % 3.51/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------