%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEV014^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:02:44 PM UTC 2025 % Result : Theorem 5.23s 5.46s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEV014^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.13/0.35 % Computer : n011.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 01:37:53 EDT 2025 % 0.13/0.35 % CPUTime : % 5.23/5.46 SZS status Theorem for theBenchmark.p % 5.23/5.46 SZS output start Proof for theBenchmark.p % 5.23/5.46 Clause #0 (by assumption #[]): Eq % 5.23/5.46 (Not % 5.23/5.46 (∀ (Xr : a → a → Prop), % 5.23/5.46 And (And (∀ (Xx : a), Xr Xx Xx) (∀ (Xx Xy : a), Xr Xx Xy → Xr Xy Xx)) % 5.23/5.46 (∀ (Xx Xy Xz : a), And (Xr Xx Xy) (Xr Xy Xz) → Xr Xx Xz) → % 5.23/5.46 ∀ (Xx : a), Xr Xx Xx)) % 5.23/5.46 True % 5.23/5.46 Clause #1 (by clausification #[0]): Eq % 5.23/5.46 (∀ (Xr : a → a → Prop), % 5.23/5.46 And (And (∀ (Xx : a), Xr Xx Xx) (∀ (Xx Xy : a), Xr Xx Xy → Xr Xy Xx)) % 5.23/5.46 (∀ (Xx Xy Xz : a), And (Xr Xx Xy) (Xr Xy Xz) → Xr Xx Xz) → % 5.23/5.46 ∀ (Xx : a), Xr Xx Xx) % 5.23/5.46 False % 5.23/5.46 Clause #2 (by clausification #[1]): ∀ (a_1 : a → a → Prop), % 5.23/5.46 Eq % 5.23/5.46 (Not % 5.23/5.46 (And (And (∀ (Xx : a), skS.0 0 a_1 Xx Xx) (∀ (Xx Xy : a), skS.0 0 a_1 Xx Xy → skS.0 0 a_1 Xy Xx)) % 5.23/5.46 (∀ (Xx Xy Xz : a), And (skS.0 0 a_1 Xx Xy) (skS.0 0 a_1 Xy Xz) → skS.0 0 a_1 Xx Xz) → % 5.23/5.46 ∀ (Xx : a), skS.0 0 a_1 Xx Xx)) % 5.23/5.46 True % 5.23/5.46 Clause #3 (by clausification #[2]): ∀ (a_1 : a → a → Prop), % 5.23/5.46 Eq % 5.23/5.46 (And (And (∀ (Xx : a), skS.0 0 a_1 Xx Xx) (∀ (Xx Xy : a), skS.0 0 a_1 Xx Xy → skS.0 0 a_1 Xy Xx)) % 5.23/5.46 (∀ (Xx Xy Xz : a), And (skS.0 0 a_1 Xx Xy) (skS.0 0 a_1 Xy Xz) → skS.0 0 a_1 Xx Xz) → % 5.23/5.46 ∀ (Xx : a), skS.0 0 a_1 Xx Xx) % 5.23/5.46 False % 5.23/5.46 Clause #4 (by clausification #[3]): ∀ (a_1 : a → a → Prop), % 5.23/5.46 Eq % 5.23/5.46 (And (And (∀ (Xx : a), skS.0 0 a_1 Xx Xx) (∀ (Xx Xy : a), skS.0 0 a_1 Xx Xy → skS.0 0 a_1 Xy Xx)) % 5.23/5.46 (∀ (Xx Xy Xz : a), And (skS.0 0 a_1 Xx Xy) (skS.0 0 a_1 Xy Xz) → skS.0 0 a_1 Xx Xz)) % 5.23/5.46 True % 5.23/5.46 Clause #5 (by clausification #[3]): ∀ (a_1 : a → a → Prop), Eq (∀ (Xx : a), skS.0 0 a_1 Xx Xx) False % 5.23/5.46 Clause #7 (by clausification #[4]): ∀ (a_1 : a → a → Prop), % 5.23/5.46 Eq (And (∀ (Xx : a), skS.0 0 a_1 Xx Xx) (∀ (Xx Xy : a), skS.0 0 a_1 Xx Xy → skS.0 0 a_1 Xy Xx)) True % 5.23/5.46 Clause #13 (by clausification #[5]): ∀ (a_1 : a → a → Prop) (a_2 : a), Eq (Not (skS.0 0 a_1 (skS.0 1 a_1 a_2) (skS.0 1 a_1 a_2))) True % 5.23/5.46 Clause #14 (by clausification #[13]): ∀ (a_1 : a → a → Prop) (a_2 : a), Eq (skS.0 0 a_1 (skS.0 1 a_1 a_2) (skS.0 1 a_1 a_2)) False % 5.23/5.46 Clause #16 (by clausification #[7]): ∀ (a_1 : a → a → Prop), Eq (∀ (Xx : a), skS.0 0 a_1 Xx Xx) True % 5.23/5.46 Clause #20 (by clausification #[16]): ∀ (a_1 : a → a → Prop) (a_2 : a), Eq (skS.0 0 a_1 a_2 a_2) True % 5.23/5.46 Clause #21 (by superposition #[20, 14]): Eq True False % 5.23/5.46 Clause #23 (by clausification #[21]): False % 5.23/5.46 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------