%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO552^1 : TPTP v9.2.0. Released v5.2.0. % 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 08:09:16 PM UTC 2025 % Result : Theorem 3.52s 3.75s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYO552^1 : TPTP v9.2.0. Released v5.2.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.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 13:01:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.52/3.75 SZS status Theorem for theBenchmark.p % 3.52/3.75 SZS output start Proof for theBenchmark.p % 3.52/3.75 Clause #0 (by assumption #[]): Eq (Not (Exists fun F => ∀ (X Y : Iota), Eq (F X Y) X)) True % 3.52/3.75 Clause #1 (by clausification #[0]): Eq (Exists fun F => ∀ (X Y : Iota), Eq (F X Y) X) False % 3.52/3.75 Clause #2 (by clausification #[1]): ∀ (a : Iota → Iota → Iota), Eq (∀ (X Y : Iota), Eq (a X Y) X) False % 3.52/3.75 Clause #3 (by clausification #[2]): ∀ (a : Iota → Iota → Iota) (a_1 : Iota), Eq (Not (∀ (Y : Iota), Eq (a (skS.0 0 a a_1) Y) (skS.0 0 a a_1))) True % 3.52/3.75 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota → Iota) (a_1 : Iota), Eq (∀ (Y : Iota), Eq (a (skS.0 0 a a_1) Y) (skS.0 0 a a_1)) False % 3.52/3.75 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota → Iota) (a_1 a_2 : Iota), Eq (Not (Eq (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (skS.0 0 a a_1))) True % 3.52/3.75 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota → Iota) (a_1 a_2 : Iota), Eq (Eq (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (skS.0 0 a a_1)) False % 3.52/3.75 Clause #7 (by clausification #[6]): ∀ (a : Iota → Iota → Iota) (a_1 a_2 : Iota), Ne (a (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (skS.0 0 a a_1) % 3.52/3.75 Clause #8 (by equality resolution #[7]): False % 3.52/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------