%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO079^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 3.45s 3.69s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYO079^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.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 12:56:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.45/3.69 SZS status Theorem for theBenchmark.p % 3.45/3.69 SZS output start Proof for theBenchmark.p % 3.45/3.69 Clause #0 (by assumption #[]): Eq (Not (Iff (Iff cP cQ) cR → Iff cP (Iff cQ cR))) True % 3.45/3.69 Clause #1 (by clausification #[0]): Eq (Iff (Iff cP cQ) cR → Iff cP (Iff cQ cR)) False % 3.45/3.69 Clause #2 (by clausification #[1]): Eq (Iff (Iff cP cQ) cR) True % 3.45/3.69 Clause #3 (by clausification #[1]): Eq (Iff cP (Iff cQ cR)) False % 3.45/3.69 Clause #4 (by clausification #[2]): Or (Eq (Iff cP cQ) True) (Eq cR False) % 3.45/3.69 Clause #5 (by clausification #[2]): Or (Eq (Iff cP cQ) False) (Eq cR True) % 3.45/3.69 Clause #6 (by clausification #[4]): Or (Eq cR False) (Or (Eq cP True) (Eq cQ False)) % 3.45/3.69 Clause #7 (by clausification #[4]): Or (Eq cR False) (Or (Eq cP False) (Eq cQ True)) % 3.45/3.69 Clause #8 (by clausification #[5]): Or (Eq cR True) (Or (Eq cP False) (Eq cQ False)) % 3.45/3.69 Clause #9 (by clausification #[5]): Or (Eq cR True) (Or (Eq cP True) (Eq cQ True)) % 3.45/3.69 Clause #12 (by clausification #[3]): Or (Eq cP False) (Eq (Iff cQ cR) False) % 3.45/3.69 Clause #13 (by clausification #[3]): Or (Eq cP True) (Eq (Iff cQ cR) True) % 3.45/3.69 Clause #14 (by clausification #[12]): Or (Eq cP False) (Or (Eq cQ False) (Eq cR False)) % 3.45/3.69 Clause #15 (by clausification #[12]): Or (Eq cP False) (Or (Eq cQ True) (Eq cR True)) % 3.45/3.69 Clause #17 (by clausification #[13]): Or (Eq cP True) (Or (Eq cQ True) (Eq cR False)) % 3.45/3.69 Clause #18 (by clausification #[13]): Or (Eq cP True) (Or (Eq cQ False) (Eq cR True)) % 3.45/3.69 Clause #19 (by superposition #[17, 9]): Or (Eq cP True) (Or (Eq cQ True) (Or (Eq False True) (Or (Eq cP True) (Eq cQ True)))) % 3.45/3.69 Clause #20 (by clausification #[19]): Or (Eq cP True) (Or (Eq cQ True) (Or (Eq cP True) (Eq cQ True))) % 3.45/3.69 Clause #21 (by eliminate duplicate literals #[20]): Or (Eq cP True) (Eq cQ True) % 3.45/3.69 Clause #22 (by superposition #[21, 18]): Or (Eq cP True) (Or (Eq cP True) (Or (Eq True False) (Eq cR True))) % 3.45/3.69 Clause #23 (by clausification #[22]): Or (Eq cP True) (Or (Eq cP True) (Eq cR True)) % 3.45/3.69 Clause #24 (by eliminate duplicate literals #[23]): Or (Eq cP True) (Eq cR True) % 3.45/3.69 Clause #25 (by superposition #[24, 6]): Or (Eq cP True) (Or (Eq True False) (Or (Eq cP True) (Eq cQ False))) % 3.45/3.69 Clause #29 (by clausification #[25]): Or (Eq cP True) (Or (Eq cP True) (Eq cQ False)) % 3.45/3.69 Clause #30 (by eliminate duplicate literals #[29]): Or (Eq cP True) (Eq cQ False) % 3.45/3.69 Clause #31 (by superposition #[30, 21]): Or (Eq cP True) (Or (Eq cP True) (Eq False True)) % 3.45/3.69 Clause #32 (by clausification #[31]): Or (Eq cP True) (Eq cP True) % 3.45/3.69 Clause #33 (by eliminate duplicate literals #[32]): Eq cP True % 3.45/3.69 Clause #34 (by backward demodulation #[33, 7]): Or (Eq cR False) (Or (Eq True False) (Eq cQ True)) % 3.45/3.69 Clause #35 (by backward demodulation #[33, 8]): Or (Eq cR True) (Or (Eq True False) (Eq cQ False)) % 3.45/3.69 Clause #36 (by backward demodulation #[33, 14]): Or (Eq True False) (Or (Eq cQ False) (Eq cR False)) % 3.45/3.69 Clause #37 (by backward demodulation #[33, 15]): Or (Eq True False) (Or (Eq cQ True) (Eq cR True)) % 3.45/3.69 Clause #41 (by clausification #[34]): Or (Eq cR False) (Eq cQ True) % 3.45/3.69 Clause #42 (by clausification #[37]): Or (Eq cQ True) (Eq cR True) % 3.45/3.69 Clause #43 (by superposition #[42, 41]): Or (Eq cQ True) (Or (Eq True False) (Eq cQ True)) % 3.45/3.69 Clause #44 (by clausification #[43]): Or (Eq cQ True) (Eq cQ True) % 3.45/3.69 Clause #45 (by eliminate duplicate literals #[44]): Eq cQ True % 3.45/3.69 Clause #47 (by clausification #[36]): Or (Eq cQ False) (Eq cR False) % 3.45/3.69 Clause #48 (by forward demodulation #[47, 45]): Or (Eq True False) (Eq cR False) % 3.45/3.69 Clause #49 (by clausification #[48]): Eq cR False % 3.45/3.69 Clause #50 (by clausification #[35]): Or (Eq cR True) (Eq cQ False) % 3.45/3.69 Clause #51 (by forward demodulation #[50, 45]): Or (Eq cR True) (Eq True False) % 3.45/3.69 Clause #52 (by clausification #[51]): Eq cR True % 3.45/3.69 Clause #53 (by superposition #[52, 49]): Eq True False % 3.45/3.69 Clause #54 (by clausification #[53]): False % 3.45/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------