%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO017^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:08:25 PM UTC 2025 % Result : Theorem 5.82s 6.03s % Output : Proof 5.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYO017^1 : TPTP v9.2.0. Released v3.7.0. % 0.00/0.10 % Command : duper %s % 0.10/0.31 % Computer : n026.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Fri Oct 3 14:16:53 EDT 2025 % 0.10/0.31 % CPUTime : % 5.82/6.03 SZS status Theorem for theBenchmark.p % 5.82/6.03 SZS output start Proof for theBenchmark.p % 5.82/6.03 Clause #0 (by assumption #[]): Eq (Not (Eq (h (Eq (h True) (h False))) (h False))) True % 5.82/6.03 Clause #1 (by clausification #[0]): Eq (Eq (h (Eq (h True) (h False))) (h False)) False % 5.82/6.03 Clause #2 (by clausification #[1]): Ne (h (Eq (h True) (h False))) (h False) % 5.82/6.03 Clause #3 (by clausification #[2]): Or (Eq (h (Eq (h True) (h False))) False) (Eq (h False) False) % 5.82/6.03 Clause #4 (by clausification #[2]): Or (Eq (h (Eq (h True) (h False))) True) (Eq (h False) True) % 5.82/6.03 Clause #5 (by identity loobHoist #[3]): Or (Eq (h False) False) (Or (Eq (h True) False) (Eq (Eq (h True) (h False)) False)) % 5.82/6.03 Clause #6 (by identity boolHoist #[3]): Or (Eq (h False) False) (Or (Eq (h False) False) (Eq (Eq (h True) (h False)) True)) % 5.82/6.03 Clause #7 (by clausification #[5]): Or (Eq (h False) False) (Or (Eq (h True) False) (Ne (h True) (h False))) % 5.82/6.03 Clause #8 (by clausification #[7]): Or (Eq (h False) False) (Or (Eq (h True) False) (Or (Eq (h True) False) (Eq (h False) False))) % 5.82/6.03 Clause #10 (by eliminate duplicate literals #[8]): Or (Eq (h False) False) (Eq (h True) False) % 5.82/6.03 Clause #11 (by identity loobHoist #[4]): Or (Eq (h False) True) (Or (Eq (h True) True) (Eq (Eq (h True) (h False)) False)) % 5.82/6.03 Clause #12 (by identity boolHoist #[4]): Or (Eq (h False) True) (Or (Eq (h False) True) (Eq (Eq (h True) (h False)) True)) % 5.82/6.03 Clause #13 (by clausification #[11]): Or (Eq (h False) True) (Or (Eq (h True) True) (Ne (h True) (h False))) % 5.82/6.03 Clause #15 (by clausification #[13]): Or (Eq (h False) True) (Or (Eq (h True) True) (Or (Eq (h True) True) (Eq (h False) True))) % 5.82/6.03 Clause #16 (by eliminate duplicate literals #[15]): Or (Eq (h False) True) (Eq (h True) True) % 5.82/6.03 Clause #19 (by clausification #[6]): Or (Eq (h False) False) (Or (Eq (h False) False) (Eq (h True) (h False))) % 5.82/6.03 Clause #20 (by eliminate duplicate literals #[19]): Or (Eq (h False) False) (Eq (h True) (h False)) % 5.82/6.03 Clause #21 (by superposition #[20, 16]): Or (Eq (h True) (h False)) (Or (Eq False True) (Eq (h True) True)) % 5.82/6.03 Clause #22 (by clausification #[21]): Or (Eq (h True) (h False)) (Eq (h True) True) % 5.82/6.03 Clause #26 (by superposition #[22, 16]): Or (Eq (h True) True) (Or (Eq (h True) True) (Eq (h True) True)) % 5.82/6.03 Clause #27 (by eliminate duplicate literals #[26]): Eq (h True) True % 5.82/6.03 Clause #28 (by backward demodulation #[27, 10]): Or (Eq (h False) False) (Eq True False) % 5.82/6.03 Clause #32 (by clausification #[28]): Eq (h False) False % 5.82/6.03 Clause #33 (by clausification #[12]): Or (Eq (h False) True) (Or (Eq (h False) True) (Eq (h True) (h False))) % 5.82/6.03 Clause #34 (by eliminate duplicate literals #[33]): Or (Eq (h False) True) (Eq (h True) (h False)) % 5.82/6.03 Clause #35 (by forward demodulation #[34, 32]): Or (Eq False True) (Eq (h True) (h False)) % 5.82/6.03 Clause #36 (by clausification #[35]): Eq (h True) (h False) % 5.82/6.03 Clause #37 (by forward demodulation #[36, 27]): Eq True (h False) % 5.82/6.03 Clause #40 (by superposition #[37, 32]): Eq True False % 5.82/6.03 Clause #41 (by clausification #[40]): False % 5.82/6.03 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------