%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO501^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 08:09:12 PM UTC 2025 % Result : Theorem 3.64s 3.88s % Output : Proof 3.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO501^1 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n002.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 13:52:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.64/3.88 SZS status Theorem for theBenchmark.p % 3.64/3.88 SZS output start Proof for theBenchmark.p % 3.64/3.88 Clause #0 (by assumption #[]): Eq (Not (Or (Not (p (f x (Not (Not y))))) (p (f x y)))) True % 3.64/3.88 Clause #1 (by clausification #[0]): Eq (Or (Not (p (f x (Not (Not y))))) (p (f x y))) False % 3.64/3.88 Clause #2 (by clausification #[1]): Eq (p (f x y)) False % 3.64/3.88 Clause #3 (by clausification #[1]): Eq (Not (p (f x (Not (Not y))))) False % 3.64/3.88 Clause #4 (by identity loobHoist #[2]): Or (Eq (p (f x True)) False) (Eq y False) % 3.64/3.88 Clause #5 (by identity boolHoist #[2]): Or (Eq (p (f x False)) False) (Eq y True) % 3.64/3.88 Clause #6 (by clausification #[3]): Eq (p (f x (Not (Not y)))) True % 3.64/3.88 Clause #7 (by bool simp #[6]): Eq (p (f x y)) True % 3.64/3.88 Clause #8 (by identity loobHoist #[7]): Or (Eq (p (f x True)) True) (Eq y False) % 3.64/3.88 Clause #9 (by identity boolHoist #[7]): Or (Eq (p (f x False)) True) (Eq y True) % 3.64/3.88 Clause #10 (by superposition #[9, 5]): Or (Eq y True) (Or (Eq True False) (Eq y True)) % 3.64/3.88 Clause #11 (by clausification #[10]): Or (Eq y True) (Eq y True) % 3.64/3.88 Clause #12 (by eliminate duplicate literals #[11]): Eq y True % 3.64/3.88 Clause #13 (by backward demodulation #[12, 4]): Or (Eq (p (f x True)) False) (Eq True False) % 3.64/3.88 Clause #15 (by backward demodulation #[12, 8]): Or (Eq (p (f x True)) True) (Eq True False) % 3.64/3.88 Clause #17 (by clausification #[13]): Eq (p (f x True)) False % 3.64/3.88 Clause #18 (by clausification #[15]): Eq (p (f x True)) True % 3.64/3.88 Clause #19 (by superposition #[18, 17]): Eq True False % 3.64/3.88 Clause #20 (by clausification #[19]): False % 3.64/3.88 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------