%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO078^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 3.39s 3.60s % Output : Proof 3.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO078^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n008.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 14:15:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.39/3.60 SZS status Theorem for theBenchmark.p % 3.39/3.60 SZS output start Proof for theBenchmark.p % 3.39/3.60 Clause #0 (by assumption #[]): Eq (Not (Or (Or (Iff cP cQ) (Iff cQ cR)) (Iff cP cR))) True % 3.39/3.60 Clause #1 (by clausification #[0]): Eq (Or (Or (Iff cP cQ) (Iff cQ cR)) (Iff cP cR)) False % 3.39/3.60 Clause #2 (by clausification #[1]): Eq (Iff cP cR) False % 3.39/3.60 Clause #3 (by clausification #[1]): Eq (Or (Iff cP cQ) (Iff cQ cR)) False % 3.39/3.60 Clause #4 (by clausification #[2]): Or (Eq cP False) (Eq cR False) % 3.39/3.60 Clause #5 (by clausification #[2]): Or (Eq cP True) (Eq cR True) % 3.39/3.60 Clause #6 (by clausification #[3]): Eq (Iff cQ cR) False % 3.39/3.60 Clause #7 (by clausification #[3]): Eq (Iff cP cQ) False % 3.39/3.60 Clause #8 (by clausification #[6]): Or (Eq cQ False) (Eq cR False) % 3.39/3.60 Clause #9 (by clausification #[6]): Or (Eq cQ True) (Eq cR True) % 3.39/3.60 Clause #10 (by clausification #[7]): Or (Eq cP False) (Eq cQ False) % 3.39/3.60 Clause #11 (by clausification #[7]): Or (Eq cP True) (Eq cQ True) % 3.39/3.60 Clause #12 (by superposition #[11, 4]): Or (Eq cQ True) (Or (Eq True False) (Eq cR False)) % 3.39/3.60 Clause #15 (by clausification #[12]): Or (Eq cQ True) (Eq cR False) % 3.39/3.60 Clause #17 (by superposition #[15, 9]): Or (Eq cQ True) (Or (Eq cQ True) (Eq False True)) % 3.39/3.60 Clause #18 (by clausification #[17]): Or (Eq cQ True) (Eq cQ True) % 3.39/3.60 Clause #19 (by eliminate duplicate literals #[18]): Eq cQ True % 3.39/3.60 Clause #20 (by backward demodulation #[19, 8]): Or (Eq True False) (Eq cR False) % 3.39/3.60 Clause #22 (by backward demodulation #[19, 10]): Or (Eq cP False) (Eq True False) % 3.39/3.60 Clause #27 (by clausification #[22]): Eq cP False % 3.39/3.60 Clause #29 (by backward demodulation #[27, 5]): Or (Eq False True) (Eq cR True) % 3.39/3.60 Clause #30 (by clausification #[29]): Eq cR True % 3.39/3.60 Clause #31 (by clausification #[20]): Eq cR False % 3.39/3.60 Clause #32 (by superposition #[31, 30]): Eq False True % 3.39/3.60 Clause #33 (by clausification #[32]): False % 3.39/3.60 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------