%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:35:32 AM UTC 2026 % Result : Theorem 8.37s 8.62s % Output : Proof 8.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.05 % Command : duper %s % 0.13/0.38 % Computer : n026.cluster.edu % 0.13/0.38 % Model : x86_64 x86_64 % 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.38 % Memory : 8046.5625MB % 0.13/0.38 % OS : Linux 6.8.0-71-generic % 0.13/0.38 % CPULimit : 300 % 0.13/0.38 % WCLimit : 300 % 0.13/0.38 % DateTime : Fri Sep 4 23:25:10 UTC 2026 % 0.13/0.38 % CPUTime : % 8.37/8.62 SZS status Theorem for theBenchmark.p % 8.37/8.62 SZS output start Proof for theBenchmark.p % 8.37/8.62 Clause #0 (by assumption #[]): Eq (Not (Iff (Not p → q) (Not q → p))) True % 8.37/8.62 Clause #1 (by clausification #[0]): Eq (Iff (Not p → q) (Not q → p)) False % 8.37/8.62 Clause #2 (by clausification #[1]): Or (Eq (Not p → q) False) (Eq (Not q → p) False) % 8.37/8.62 Clause #3 (by clausification #[1]): Or (Eq (Not p → q) True) (Eq (Not q → p) True) % 8.37/8.62 Clause #4 (by clausification #[2]): Or (Eq (Not q → p) False) (Eq (Not p) True) % 8.37/8.62 Clause #5 (by clausification #[2]): Or (Eq (Not q → p) False) (Eq q False) % 8.37/8.62 Clause #7 (by clausification #[4]): Or (Eq (Not p) True) (Eq p False) % 8.37/8.62 Clause #10 (by clausification #[7]): Or (Eq p False) (Eq p False) % 8.37/8.62 Clause #11 (by eliminate duplicate literals #[10]): Eq p False % 8.37/8.62 Clause #12 (by clausification #[5]): Or (Eq q False) (Eq (Not q) True) % 8.37/8.62 Clause #14 (by clausification #[12]): Or (Eq q False) (Eq q False) % 8.37/8.62 Clause #15 (by eliminate duplicate literals #[14]): Eq q False % 8.37/8.62 Clause #17 (by clausification #[3]): Or (Eq (Not q → p) True) (Or (Eq (Not p) False) (Eq q True)) % 8.37/8.62 Clause #18 (by clausification #[17]): Or (Eq (Not p) False) (Or (Eq q True) (Or (Eq (Not q) False) (Eq p True))) % 8.37/8.62 Clause #19 (by clausification #[18]): Or (Eq q True) (Or (Eq (Not q) False) (Or (Eq p True) (Eq p True))) % 8.37/8.62 Clause #20 (by clausification #[19]): Or (Eq q True) (Or (Eq p True) (Or (Eq p True) (Eq q True))) % 8.37/8.62 Clause #21 (by eliminate duplicate literals #[20]): Or (Eq q True) (Eq p True) % 8.37/8.62 Clause #22 (by forward demodulation #[21, 15]): Or (Eq False True) (Eq p True) % 8.37/8.62 Clause #23 (by clausification #[22]): Eq p True % 8.37/8.62 Clause #24 (by superposition #[23, 11]): Eq True False % 8.37/8.62 Clause #25 (by clausification #[24]): False % 8.37/8.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------