%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN046+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 08:07:02 PM UTC 2025 % Result : Theorem 3.92s 4.16s % Output : Proof 3.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.01/0.12 % Problem : SYN046+1 : TPTP v9.2.0. Released v2.0.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 15:27:53 EDT 2025 % 0.12/0.34 % CPUTime : % 3.92/4.16 SZS status Theorem for theBenchmark.p % 3.92/4.16 SZS output start Proof for theBenchmark.p % 3.92/4.16 Clause #0 (by assumption #[]): Eq (Not (Iff (p → q) (Or (Not p) q))) True % 3.92/4.16 Clause #1 (by clausification #[0]): Eq (Iff (p → q) (Or (Not p) q)) False % 3.92/4.16 Clause #2 (by clausification #[1]): Or (Eq (p → q) False) (Eq (Or (Not p) q) False) % 3.92/4.16 Clause #3 (by clausification #[1]): Or (Eq (p → q) True) (Eq (Or (Not p) q) True) % 3.92/4.16 Clause #4 (by clausification #[2]): Or (Eq (Or (Not p) q) False) (Eq p True) % 3.92/4.16 Clause #5 (by clausification #[2]): Or (Eq (Or (Not p) q) False) (Eq q False) % 3.92/4.16 Clause #7 (by clausification #[4]): Or (Eq p True) (Eq (Not p) False) % 3.92/4.16 Clause #8 (by clausification #[7]): Or (Eq p True) (Eq p True) % 3.92/4.16 Clause #9 (by eliminate duplicate literals #[8]): Eq p True % 3.92/4.16 Clause #10 (by clausification #[5]): Or (Eq q False) (Eq q False) % 3.92/4.16 Clause #12 (by eliminate duplicate literals #[10]): Eq q False % 3.92/4.16 Clause #15 (by clausification #[3]): Or (Eq (Or (Not p) q) True) (Or (Eq p False) (Eq q True)) % 3.92/4.16 Clause #16 (by clausification #[15]): Or (Eq p False) (Or (Eq q True) (Or (Eq (Not p) True) (Eq q True))) % 3.92/4.16 Clause #17 (by clausification #[16]): Or (Eq p False) (Or (Eq q True) (Or (Eq q True) (Eq p False))) % 3.92/4.16 Clause #18 (by eliminate duplicate literals #[17]): Or (Eq p False) (Eq q True) % 3.92/4.16 Clause #19 (by forward demodulation #[18, 12]): Or (Eq p False) (Eq False True) % 3.92/4.16 Clause #20 (by clausification #[19]): Eq p False % 3.92/4.16 Clause #21 (by superposition #[20, 9]): Eq False True % 3.92/4.16 Clause #22 (by clausification #[21]): False % 3.92/4.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------