%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO502^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 08:09:13 PM UTC 2025 % Result : Theorem 5.55s 5.76s % Output : Proof 5.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SYO502^1 : TPTP v9.2.0. Released v4.1.0. % 0.10/0.11 % Command : duper %s % 0.11/0.32 % Computer : n004.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 13:29:23 EDT 2025 % 0.11/0.32 % CPUTime : % 5.55/5.76 SZS status Theorem for theBenchmark.p % 5.55/5.76 SZS output start Proof for theBenchmark.p % 5.55/5.76 Clause #0 (by assumption #[]): Eq (Not (Or (Or (Ne a b) (Ne (f a) (g b))) (Eq (f b) (g a)))) True % 5.55/5.76 Clause #1 (by clausification #[0]): Eq (Or (Or (Ne a b) (Ne (f a) (g b))) (Eq (f b) (g a))) False % 5.55/5.76 Clause #2 (by clausification #[1]): Eq (Eq (f b) (g a)) False % 5.55/5.76 Clause #3 (by clausification #[1]): Eq (Or (Ne a b) (Ne (f a) (g b))) False % 5.55/5.76 Clause #4 (by clausification #[2]): Ne (f b) (g a) % 5.55/5.76 Clause #5 (by clausification #[3]): Eq (Ne (f a) (g b)) False % 5.55/5.76 Clause #6 (by clausification #[3]): Eq (Ne a b) False % 5.55/5.76 Clause #7 (by clausification #[5]): Eq (f a) (g b) % 5.55/5.76 Clause #8 (by clausification #[6]): Eq a b % 5.55/5.76 Clause #9 (by backward demodulation #[8, 4]): Ne (f b) (g b) % 5.55/5.76 Clause #10 (by backward demodulation #[8, 7]): Eq (f b) (g b) % 5.55/5.76 Clause #11 (by forward demodulation #[9, 10]): Ne (g b) (g b) % 5.55/5.76 Clause #12 (by eliminate resolved literals #[11]): False % 5.55/5.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------