%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO076^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 08:08:33 PM UTC 2025 % Result : Theorem 3.73s 3.92s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYO076^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.15 % Command : duper %s % 0.16/0.37 % Computer : n015.cluster.edu % 0.16/0.37 % Model : x86_64 x86_64 % 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.37 % Memory : 8042.1875MB % 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.37 % CPULimit : 300 % 0.16/0.37 % WCLimit : 300 % 0.16/0.37 % DateTime : Fri Oct 3 13:43:38 EDT 2025 % 0.16/0.37 % CPUTime : % 3.73/3.92 SZS status Theorem for theBenchmark.p % 3.73/3.92 SZS output start Proof for theBenchmark.p % 3.73/3.92 Clause #0 (by assumption #[]): Eq (Not (And cP (cP → cQ) → cQ)) True % 3.73/3.92 Clause #1 (by clausification #[0]): Eq (And cP (cP → cQ) → cQ) False % 3.73/3.92 Clause #2 (by clausification #[1]): Eq (And cP (cP → cQ)) True % 3.73/3.92 Clause #3 (by clausification #[1]): Eq cQ False % 3.73/3.92 Clause #4 (by clausification #[2]): Eq (cP → cQ) True % 3.73/3.92 Clause #5 (by clausification #[2]): Eq cP True % 3.73/3.92 Clause #6 (by clausification #[4]): Or (Eq cP False) (Eq cQ True) % 3.73/3.92 Clause #7 (by backward demodulation #[5, 6]): Or (Eq True False) (Eq cQ True) % 3.73/3.92 Clause #8 (by clausification #[7]): Eq cQ True % 3.73/3.92 Clause #9 (by superposition #[8, 3]): Eq True False % 3.73/3.92 Clause #10 (by clausification #[9]): False % 3.73/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------