%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ANA123^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:44:35 PM UTC 2025 % Result : Theorem 4.62s 4.85s % Output : Proof 4.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ANA123^1 : TPTP v9.2.0. Released v7.0.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n013.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 : Thu Oct 2 22:07:38 EDT 2025 % 0.13/0.36 % CPUTime : % 4.62/4.85 SZS status Theorem for theBenchmark.p % 4.62/4.85 SZS output start Proof for theBenchmark.p % 4.62/4.85 Clause #0 (by assumption #[]): Eq («const/iterate/polynomial_function» fun A => A) True % 4.62/4.85 Clause #1 (by assumption #[]): Eq (∀ (A : Type), Eq («const/trivia/I» A) fun A0 => A0) True % 4.62/4.85 Clause #2 (by assumption #[]): Eq (Not («const/iterate/polynomial_function» («const/trivia/I» «type/realax/real»))) True % 4.62/4.85 Clause #3 (by clausification #[2]): Eq («const/iterate/polynomial_function» («const/trivia/I» «type/realax/real»)) False % 4.62/4.85 Clause #4 (by clausification #[1]): ∀ (a : Type), Eq (Eq («const/trivia/I» a) fun A0 => A0) True % 4.62/4.85 Clause #5 (by clausification #[4]): ∀ (a : Type), Eq («const/trivia/I» a) fun A0 => A0 % 4.62/4.85 Clause #6 (by superposition #[5, 0]): Eq («const/iterate/polynomial_function» («const/trivia/I» «type/realax/real»)) True % 4.62/4.85 Clause #10 (by superposition #[6, 3]): Eq True False % 4.62/4.85 Clause #12 (by clausification #[10]): False % 4.62/4.85 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------