%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO369^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 08:08:57 PM UTC 2025 % Result : Theorem 3.71s 3.96s % Output : Proof 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYO369^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 14:01:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.71/3.96 SZS status Theorem for theBenchmark.p % 3.71/3.96 SZS output start Proof for theBenchmark.p % 3.71/3.96 Clause #0 (by assumption #[]): Eq (Not (cP (cA → cB) → cP (Or (Not cA) cB))) True % 3.71/3.96 Clause #1 (by clausification #[0]): Eq (cP (cA → cB) → cP (Or (Not cA) cB)) False % 3.71/3.96 Clause #2 (by clausification #[1]): Eq (cP (cA → cB)) True % 3.71/3.96 Clause #3 (by clausification #[1]): Eq (cP (Or (Not cA) cB)) False % 3.71/3.96 Clause #4 (by identity loobHoist #[2]): Or (Eq (cP True) True) (Eq (cA → cB) False) % 3.71/3.96 Clause #5 (by identity boolHoist #[2]): Or (Eq (cP False) True) (Eq (cA → cB) True) % 3.71/3.96 Clause #6 (by clausification #[4]): Or (Eq (cP True) True) (Eq cA True) % 3.71/3.96 Clause #7 (by clausification #[4]): Or (Eq (cP True) True) (Eq cB False) % 3.71/3.96 Clause #8 (by clausification #[5]): Or (Eq (cP False) True) (Or (Eq cA False) (Eq cB True)) % 3.71/3.96 Clause #9 (by identity loobHoist #[3]): Or (Eq (cP True) False) (Eq (Or (Not cA) cB) False) % 3.71/3.96 Clause #10 (by identity boolHoist #[3]): Or (Eq (cP False) False) (Eq (Or (Not cA) cB) True) % 3.71/3.96 Clause #11 (by clausification #[9]): Or (Eq (cP True) False) (Eq cB False) % 3.71/3.96 Clause #12 (by clausification #[9]): Or (Eq (cP True) False) (Eq (Not cA) False) % 3.71/3.96 Clause #15 (by clausification #[10]): Or (Eq (cP False) False) (Or (Eq (Not cA) True) (Eq cB True)) % 3.71/3.96 Clause #16 (by clausification #[15]): Or (Eq (cP False) False) (Or (Eq cB True) (Eq cA False)) % 3.71/3.96 Clause #17 (by clausification #[12]): Or (Eq (cP True) False) (Eq cA True) % 3.71/3.96 Clause #18 (by superposition #[17, 6]): Or (Eq cA True) (Or (Eq False True) (Eq cA True)) % 3.71/3.96 Clause #19 (by clausification #[18]): Or (Eq cA True) (Eq cA True) % 3.71/3.96 Clause #20 (by eliminate duplicate literals #[19]): Eq cA True % 3.71/3.96 Clause #22 (by backward demodulation #[20, 8]): Or (Eq (cP False) True) (Or (Eq True False) (Eq cB True)) % 3.71/3.96 Clause #24 (by backward demodulation #[20, 16]): Or (Eq (cP False) False) (Or (Eq cB True) (Eq True False)) % 3.71/3.96 Clause #26 (by clausification #[22]): Or (Eq (cP False) True) (Eq cB True) % 3.71/3.96 Clause #27 (by clausification #[24]): Or (Eq (cP False) False) (Eq cB True) % 3.71/3.96 Clause #28 (by superposition #[27, 26]): Or (Eq cB True) (Or (Eq False True) (Eq cB True)) % 3.71/3.96 Clause #29 (by clausification #[28]): Or (Eq cB True) (Eq cB True) % 3.71/3.96 Clause #30 (by eliminate duplicate literals #[29]): Eq cB True % 3.71/3.96 Clause #31 (by backward demodulation #[30, 7]): Or (Eq (cP True) True) (Eq True False) % 3.71/3.96 Clause #32 (by backward demodulation #[30, 11]): Or (Eq (cP True) False) (Eq True False) % 3.71/3.96 Clause #35 (by clausification #[32]): Eq (cP True) False % 3.71/3.96 Clause #36 (by clausification #[31]): Eq (cP True) True % 3.71/3.96 Clause #37 (by superposition #[36, 35]): Eq True False % 3.71/3.96 Clause #38 (by clausification #[37]): False % 3.71/3.96 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------