%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO499^1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 08:09:11 PM UTC 2025 % Result : Theorem 3.53s 3.74s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO499^1 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.33 % Computer : n005.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Oct 3 13:57:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.53/3.74 SZS status Theorem for theBenchmark.p % 3.53/3.74 SZS output start Proof for theBenchmark.p % 3.53/3.74 Clause #0 (by assumption #[]): Eq % 3.53/3.74 (Not % 3.53/3.74 (Or (Or (Or (Or (Or (Eq (f a) (g b)) (Ne (f b) (g a))) (Eq (f1 a) (g1 c))) (Ne (f1 c) (g1 a))) (Eq (f2 b) (g2 c))) % 3.53/3.74 (Ne (f2 c) (g2 b)))) % 3.53/3.74 True % 3.53/3.74 Clause #1 (by clausification #[0]): Eq % 3.53/3.74 (Or (Or (Or (Or (Or (Eq (f a) (g b)) (Ne (f b) (g a))) (Eq (f1 a) (g1 c))) (Ne (f1 c) (g1 a))) (Eq (f2 b) (g2 c))) % 3.53/3.74 (Ne (f2 c) (g2 b))) % 3.53/3.74 False % 3.53/3.74 Clause #2 (by clausification #[1]): Eq (Ne (f2 c) (g2 b)) False % 3.53/3.74 Clause #3 (by clausification #[1]): Eq (Or (Or (Or (Or (Eq (f a) (g b)) (Ne (f b) (g a))) (Eq (f1 a) (g1 c))) (Ne (f1 c) (g1 a))) (Eq (f2 b) (g2 c))) False % 3.53/3.74 Clause #4 (by clausification #[2]): Eq (f2 c) (g2 b) % 3.53/3.74 Clause #5 (by identity loobHoist #[4]): Or (Eq (f2 True) (g2 b)) (Eq c False) % 3.53/3.74 Clause #6 (by identity boolHoist #[4]): Or (Eq (f2 False) (g2 b)) (Eq c True) % 3.53/3.74 Clause #7 (by identity loobHoist #[5]): Or (Eq c False) (Or (Eq (f2 True) (g2 True)) (Eq b False)) % 3.53/3.74 Clause #10 (by identity boolHoist #[6]): Or (Eq c True) (Or (Eq (f2 False) (g2 False)) (Eq b True)) % 3.53/3.74 Clause #11 (by clausification #[3]): Eq (Eq (f2 b) (g2 c)) False % 3.53/3.74 Clause #12 (by clausification #[3]): Eq (Or (Or (Or (Eq (f a) (g b)) (Ne (f b) (g a))) (Eq (f1 a) (g1 c))) (Ne (f1 c) (g1 a))) False % 3.53/3.74 Clause #13 (by clausification #[11]): Ne (f2 b) (g2 c) % 3.53/3.74 Clause #14 (by identity loobHoist #[13]): Or (Ne (f2 True) (g2 c)) (Eq b False) % 3.53/3.74 Clause #15 (by identity boolHoist #[13]): Or (Ne (f2 False) (g2 c)) (Eq b True) % 3.53/3.74 Clause #16 (by identity loobHoist #[14]): Or (Eq b False) (Or (Ne (f2 True) (g2 True)) (Eq c False)) % 3.53/3.74 Clause #18 (by forward contextual literal cutting #[16, 7]): Or (Eq b False) (Eq c False) % 3.53/3.74 Clause #19 (by clausification #[12]): Eq (Ne (f1 c) (g1 a)) False % 3.53/3.74 Clause #20 (by clausification #[12]): Eq (Or (Or (Eq (f a) (g b)) (Ne (f b) (g a))) (Eq (f1 a) (g1 c))) False % 3.53/3.74 Clause #21 (by clausification #[19]): Eq (f1 c) (g1 a) % 3.53/3.74 Clause #22 (by identity loobHoist #[21]): Or (Eq (f1 True) (g1 a)) (Eq c False) % 3.53/3.74 Clause #23 (by identity boolHoist #[21]): Or (Eq (f1 False) (g1 a)) (Eq c True) % 3.53/3.74 Clause #24 (by identity loobHoist #[22]): Or (Eq c False) (Or (Eq (f1 True) (g1 True)) (Eq a False)) % 3.53/3.74 Clause #27 (by identity boolHoist #[23]): Or (Eq c True) (Or (Eq (f1 False) (g1 False)) (Eq a True)) % 3.53/3.74 Clause #29 (by identity boolHoist #[15]): Or (Eq b True) (Or (Ne (f2 False) (g2 False)) (Eq c True)) % 3.53/3.74 Clause #31 (by forward contextual literal cutting #[29, 10]): Or (Eq b True) (Eq c True) % 3.53/3.74 Clause #36 (by clausification #[20]): Eq (Eq (f1 a) (g1 c)) False % 3.53/3.74 Clause #37 (by clausification #[20]): Eq (Or (Eq (f a) (g b)) (Ne (f b) (g a))) False % 3.53/3.74 Clause #38 (by clausification #[36]): Ne (f1 a) (g1 c) % 3.53/3.74 Clause #39 (by identity loobHoist #[38]): Or (Ne (f1 True) (g1 c)) (Eq a False) % 3.53/3.74 Clause #40 (by identity boolHoist #[38]): Or (Ne (f1 False) (g1 c)) (Eq a True) % 3.53/3.74 Clause #41 (by identity loobHoist #[39]): Or (Eq a False) (Or (Ne (f1 True) (g1 True)) (Eq c False)) % 3.53/3.74 Clause #43 (by forward contextual literal cutting #[41, 24]): Or (Eq a False) (Eq c False) % 3.53/3.74 Clause #45 (by identity boolHoist #[40]): Or (Eq a True) (Or (Ne (f1 False) (g1 False)) (Eq c True)) % 3.53/3.74 Clause #46 (by forward contextual literal cutting #[27, 45]): Or (Eq c True) (Eq a True) % 3.53/3.74 Clause #59 (by clausification #[37]): Eq (Ne (f b) (g a)) False % 3.53/3.74 Clause #60 (by clausification #[37]): Eq (Eq (f a) (g b)) False % 3.53/3.74 Clause #61 (by clausification #[59]): Eq (f b) (g a) % 3.53/3.74 Clause #62 (by identity loobHoist #[61]): Or (Eq (f True) (g a)) (Eq b False) % 3.53/3.74 Clause #63 (by identity boolHoist #[61]): Or (Eq (f False) (g a)) (Eq b True) % 3.53/3.74 Clause #64 (by identity loobHoist #[62]): Or (Eq b False) (Or (Eq (f True) (g True)) (Eq a False)) % 3.53/3.74 Clause #68 (by identity boolHoist #[63]): Or (Eq b True) (Or (Eq (f False) (g False)) (Eq a True)) % 3.53/3.74 Clause #70 (by clausification #[60]): Ne (f a) (g b) % 3.53/3.74 Clause #71 (by identity loobHoist #[70]): Or (Ne (f True) (g b)) (Eq a False) % 3.53/3.74 Clause #72 (by identity boolHoist #[70]): Or (Ne (f False) (g b)) (Eq a True) % 3.53/3.74 Clause #73 (by identity loobHoist #[71]): Or (Eq a False) (Or (Ne (f True) (g True)) (Eq b False)) % 3.53/3.74 Clause #75 (by forward contextual literal cutting #[73, 64]): Or (Eq a False) (Eq b False) % 3.53/3.74 Clause #76 (by superposition #[75, 46]): Or (Eq b False) (Or (Eq c True) (Eq False True)) % 3.53/3.74 Clause #77 (by clausification #[76]): Or (Eq b False) (Eq c True) % 3.53/3.74 Clause #78 (by superposition #[77, 31]): Or (Eq c True) (Or (Eq False True) (Eq c True)) % 3.53/3.74 Clause #79 (by clausification #[78]): Or (Eq c True) (Eq c True) % 3.53/3.74 Clause #80 (by eliminate duplicate literals #[79]): Eq c True % 3.53/3.74 Clause #82 (by backward demodulation #[80, 18]): Or (Eq b False) (Eq True False) % 3.53/3.74 Clause #85 (by backward demodulation #[80, 43]): Or (Eq a False) (Eq True False) % 3.53/3.74 Clause #94 (by clausification #[85]): Eq a False % 3.53/3.74 Clause #96 (by clausification #[82]): Eq b False % 3.53/3.74 Clause #98 (by forward demodulation #[72, 96]): Or (Ne (f False) (g False)) (Eq a True) % 3.53/3.74 Clause #99 (by forward demodulation #[98, 94]): Or (Ne (f False) (g False)) (Eq False True) % 3.53/3.74 Clause #100 (by clausification #[99]): Ne (f False) (g False) % 3.53/3.74 Clause #107 (by forward demodulation #[68, 96]): Or (Eq False True) (Or (Eq (f False) (g False)) (Eq a True)) % 3.53/3.74 Clause #108 (by clausification #[107]): Or (Eq (f False) (g False)) (Eq a True) % 3.53/3.74 Clause #109 (by forward demodulation #[108, 94]): Or (Eq (f False) (g False)) (Eq False True) % 3.53/3.74 Clause #110 (by clausification #[109]): Eq (f False) (g False) % 3.53/3.74 Clause #111 (by forward contextual literal cutting #[110, 100]): False % 3.53/3.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------