%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV134^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 08:02:52 PM UTC 2025 % Result : Theorem 4.07s 4.27s % Output : Proof 4.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.16 % Problem : SEV134^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.17 % Command : duper %s % 0.16/0.39 % Computer : n012.cluster.edu % 0.16/0.39 % Model : x86_64 x86_64 % 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.39 % Memory : 8042.1875MB % 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.39 % CPULimit : 300 % 0.16/0.39 % WCLimit : 300 % 0.16/0.39 % DateTime : Fri Oct 3 01:08:53 EDT 2025 % 0.16/0.39 % CPUTime : % 4.07/4.27 SZS status Theorem for theBenchmark.p % 4.07/4.27 SZS output start Proof for theBenchmark.p % 4.07/4.27 Clause #0 (by assumption #[]): Eq % 4.07/4.27 (Not % 4.07/4.27 (∀ (Xr : a → a → Prop) (Xx : a) (Xx0 : a → Prop), % 4.07/4.27 (∀ (Xy Xz : a), And (Xr Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 Xx → Xx0 Xx)) % 4.07/4.27 True % 4.07/4.27 Clause #1 (by clausification #[0]): Eq % 4.07/4.27 (∀ (Xr : a → a → Prop) (Xx : a) (Xx0 : a → Prop), (∀ (Xy Xz : a), And (Xr Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 Xx → Xx0 Xx) % 4.07/4.27 False % 4.07/4.27 Clause #2 (by clausification #[1]): ∀ (a_1 : a → a → Prop), % 4.07/4.27 Eq (Not (∀ (Xx : a) (Xx0 : a → Prop), (∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 Xx → Xx0 Xx)) % 4.07/4.27 True % 4.07/4.27 Clause #3 (by clausification #[2]): ∀ (a_1 : a → a → Prop), % 4.07/4.27 Eq (∀ (Xx : a) (Xx0 : a → Prop), (∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 Xx → Xx0 Xx) False % 4.07/4.27 Clause #4 (by clausification #[3]): ∀ (a_1 : a → a → Prop) (a_2 : a), % 4.07/4.27 Eq % 4.07/4.27 (Not % 4.07/4.27 (∀ (Xx0 : a → Prop), % 4.07/4.27 (∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 (skS.0 1 a_1 a_2) → Xx0 (skS.0 1 a_1 a_2))) % 4.07/4.27 True % 4.07/4.27 Clause #5 (by clausification #[4]): ∀ (a_1 : a → a → Prop) (a_2 : a), % 4.07/4.27 Eq % 4.07/4.27 (∀ (Xx0 : a → Prop), % 4.07/4.27 (∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (Xx0 Xy) → Xx0 Xz) → Xx0 (skS.0 1 a_1 a_2) → Xx0 (skS.0 1 a_1 a_2)) % 4.07/4.27 False % 4.07/4.27 Clause #6 (by clausification #[5]): ∀ (a_1 : a → a → Prop) (a_2 : a) (a_3 : a → Prop), % 4.07/4.27 Eq % 4.07/4.27 (Not % 4.07/4.27 ((∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (skS.0 2 a_1 a_2 a_3 Xy) → skS.0 2 a_1 a_2 a_3 Xz) → % 4.07/4.27 skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2) → skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2))) % 4.07/4.27 True % 4.07/4.27 Clause #7 (by clausification #[6]): ∀ (a_1 : a → a → Prop) (a_2 : a) (a_3 : a → Prop), % 4.07/4.27 Eq % 4.07/4.27 ((∀ (Xy Xz : a), And (skS.0 0 a_1 Xy Xz) (skS.0 2 a_1 a_2 a_3 Xy) → skS.0 2 a_1 a_2 a_3 Xz) → % 4.07/4.27 skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2) → skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2)) % 4.07/4.27 False % 4.07/4.27 Clause #9 (by clausification #[7]): ∀ (a_1 : a → a → Prop) (a_2 : a) (a_3 : a → Prop), % 4.07/4.27 Eq (skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2) → skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2)) False % 4.07/4.27 Clause #14 (by clausification #[9]): ∀ (a_1 : a → a → Prop) (a_2 : a) (a_3 : a → Prop), Eq (skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2)) True % 4.07/4.27 Clause #15 (by clausification #[9]): ∀ (a_1 : a → a → Prop) (a_2 : a) (a_3 : a → Prop), Eq (skS.0 2 a_1 a_2 a_3 (skS.0 1 a_1 a_2)) False % 4.07/4.27 Clause #16 (by superposition #[15, 14]): Eq False True % 4.07/4.27 Clause #17 (by clausification #[16]): False % 4.07/4.27 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------