%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN391+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 08:07:34 PM UTC 2025 % Result : Theorem 3.53s 3.75s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN391+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n021.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 : Thu Oct 2 15:30:38 EDT 2025 % 0.14/0.35 % CPUTime : % 3.53/3.75 SZS status Theorem for theBenchmark.p % 3.53/3.75 SZS output start Proof for theBenchmark.p % 3.53/3.75 Clause #0 (by assumption #[]): Eq (Not (And (And (Or p1 p2) (Or (Not p1) p2)) (Or p1 (Not p2)) → Not (Or (Not p1) (Not p2)))) True % 3.53/3.75 Clause #1 (by clausification #[0]): Eq (And (And (Or p1 p2) (Or (Not p1) p2)) (Or p1 (Not p2)) → Not (Or (Not p1) (Not p2))) False % 3.53/3.75 Clause #2 (by clausification #[1]): Eq (And (And (Or p1 p2) (Or (Not p1) p2)) (Or p1 (Not p2))) True % 3.53/3.75 Clause #3 (by clausification #[1]): Eq (Not (Or (Not p1) (Not p2))) False % 3.53/3.75 Clause #4 (by clausification #[2]): Eq (Or p1 (Not p2)) True % 3.53/3.75 Clause #5 (by clausification #[2]): Eq (And (Or p1 p2) (Or (Not p1) p2)) True % 3.53/3.75 Clause #6 (by clausification #[4]): Or (Eq p1 True) (Eq (Not p2) True) % 3.53/3.75 Clause #7 (by clausification #[6]): Or (Eq p1 True) (Eq p2 False) % 3.53/3.75 Clause #8 (by clausification #[3]): Eq (Or (Not p1) (Not p2)) True % 3.53/3.75 Clause #9 (by clausification #[8]): Or (Eq (Not p1) True) (Eq (Not p2) True) % 3.53/3.75 Clause #10 (by clausification #[9]): Or (Eq (Not p2) True) (Eq p1 False) % 3.53/3.75 Clause #11 (by clausification #[10]): Or (Eq p1 False) (Eq p2 False) % 3.53/3.75 Clause #12 (by clausification #[5]): Eq (Or (Not p1) p2) True % 3.53/3.75 Clause #13 (by clausification #[5]): Eq (Or p1 p2) True % 3.53/3.75 Clause #14 (by clausification #[12]): Or (Eq (Not p1) True) (Eq p2 True) % 3.53/3.75 Clause #15 (by clausification #[14]): Or (Eq p2 True) (Eq p1 False) % 3.53/3.75 Clause #16 (by clausification #[13]): Or (Eq p1 True) (Eq p2 True) % 3.53/3.75 Clause #17 (by superposition #[16, 7]): Or (Eq p1 True) (Or (Eq p1 True) (Eq True False)) % 3.53/3.75 Clause #18 (by clausification #[17]): Or (Eq p1 True) (Eq p1 True) % 3.53/3.75 Clause #19 (by eliminate duplicate literals #[18]): Eq p1 True % 3.53/3.75 Clause #21 (by backward demodulation #[19, 11]): Or (Eq True False) (Eq p2 False) % 3.53/3.75 Clause #22 (by backward demodulation #[19, 15]): Or (Eq p2 True) (Eq True False) % 3.53/3.75 Clause #24 (by clausification #[22]): Eq p2 True % 3.53/3.75 Clause #25 (by clausification #[21]): Eq p2 False % 3.53/3.75 Clause #26 (by superposition #[25, 24]): Eq False True % 3.53/3.75 Clause #27 (by clausification #[26]): False % 3.53/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------