%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU547^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:01:52 PM UTC 2025 % Result : Theorem 3.56s 3.73s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SEU547^2 : TPTP v9.2.0. Released v3.7.0. % 0.10/0.13 % Command : duper %s % 0.14/0.34 % Computer : n024.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 05:11:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.56/3.73 SZS status Theorem for theBenchmark.p % 3.56/3.73 SZS output start Proof for theBenchmark.p % 3.56/3.73 Clause #0 (by assumption #[]): Eq (Not (∀ (A B : Iota), Eq A B → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx A → in Xy B)) True % 3.56/3.73 Clause #1 (by clausification #[0]): Eq (∀ (A B : Iota), Eq A B → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx A → in Xy B) False % 3.56/3.73 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Eq (skS.0 0 a) B → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx (skS.0 0 a) → in Xy B)) True % 3.56/3.73 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (skS.0 0 a) B → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx (skS.0 0 a) → in Xy B) False % 3.56/3.73 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), % 3.56/3.73 Eq (Not (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx (skS.0 0 a) → in Xy (skS.0 1 a a_1))) % 3.56/3.73 True % 3.56/3.73 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), % 3.56/3.73 Eq (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (Xx Xy : Iota), Eq Xx Xy → in Xx (skS.0 0 a) → in Xy (skS.0 1 a a_1)) False % 3.56/3.73 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True % 3.56/3.73 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (∀ (Xx Xy : Iota), Eq Xx Xy → in Xx (skS.0 0 a) → in Xy (skS.0 1 a a_1)) False % 3.56/3.73 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1) % 3.56/3.73 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), % 3.56/3.73 Eq (Not (∀ (Xy : Iota), Eq (skS.0 2 a a_1 a_2) Xy → in (skS.0 2 a a_1 a_2) (skS.0 0 a) → in Xy (skS.0 1 a a_1))) True % 3.56/3.73 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota), % 3.56/3.73 Eq (∀ (Xy : Iota), Eq (skS.0 2 a a_1 a_2) Xy → in (skS.0 2 a a_1 a_2) (skS.0 0 a) → in Xy (skS.0 1 a a_1)) False % 3.56/3.73 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota), % 3.56/3.73 Eq % 3.56/3.73 (Not % 3.56/3.73 (Eq (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) → % 3.56/3.73 in (skS.0 2 a a_1 a_2) (skS.0 0 a) → in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1))) % 3.56/3.73 True % 3.56/3.73 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota), % 3.56/3.73 Eq % 3.56/3.73 (Eq (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) → % 3.56/3.73 in (skS.0 2 a a_1 a_2) (skS.0 0 a) → in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1)) % 3.56/3.73 False % 3.56/3.73 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)) True % 3.56/3.73 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a) → in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1)) False % 3.56/3.73 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) % 3.56/3.73 Clause #16 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) True % 3.56/3.73 Clause #17 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 3 a a_1 a_2 a_3) (skS.0 1 a a_1)) False % 3.56/3.73 Clause #18 (by forward demodulation #[17, 8]): ∀ (a a_1 a_2 a_3 : Iota), Eq (in (skS.0 3 a a_1 a_2 a_3) (skS.0 0 a)) False % 3.56/3.73 Clause #19 (by forward demodulation #[18, 15]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 2 a a_1 a_2) (skS.0 0 a)) False % 3.56/3.73 Clause #20 (by superposition #[19, 16]): Eq False True % 3.56/3.73 Clause #21 (by clausification #[20]): False % 3.56/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------