%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO504^1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:09:13 PM UTC 2025 % Result : Theorem 3.62s 3.78s % Output : Proof 3.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYO504^1 : TPTP v9.2.0. Released v4.1.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n024.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 14:21:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.62/3.78 SZS status Theorem for theBenchmark.p % 3.62/3.78 SZS output start Proof for theBenchmark.p % 3.62/3.78 Clause #0 (by assumption #[]): Eq (Not (And (And (And (Eq (h a b) (And a b)) (Eq (i a b) (Or a b))) (Eq (f g) (i a b))) (h a b) → f g)) True % 3.62/3.78 Clause #1 (by clausification #[0]): Eq (And (And (And (Eq (h a b) (And a b)) (Eq (i a b) (Or a b))) (Eq (f g) (i a b))) (h a b) → f g) False % 3.62/3.78 Clause #2 (by clausification #[1]): Eq (And (And (And (Eq (h a b) (And a b)) (Eq (i a b) (Or a b))) (Eq (f g) (i a b))) (h a b)) True % 3.62/3.78 Clause #3 (by clausification #[1]): Eq (f g) False % 3.62/3.78 Clause #4 (by clausification #[2]): Eq (h a b) True % 3.62/3.78 Clause #5 (by clausification #[2]): Eq (And (And (Eq (h a b) (And a b)) (Eq (i a b) (Or a b))) (Eq (f g) (i a b))) True % 3.62/3.78 Clause #6 (by identity loobHoist #[4]): Or (Eq (h a True) True) (Eq b False) % 3.62/3.78 Clause #7 (by identity boolHoist #[4]): Or (Eq (h a False) True) (Eq b True) % 3.62/3.78 Clause #9 (by identity boolHoist #[6]): Or (Eq b False) (Or (Eq (h False True) True) (Eq a True)) % 3.62/3.78 Clause #10 (by identity loobHoist #[7]): Or (Eq b True) (Or (Eq (h True False) True) (Eq a False)) % 3.62/3.78 Clause #11 (by identity boolHoist #[7]): Or (Eq b True) (Or (Eq (h False False) True) (Eq a True)) % 3.62/3.78 Clause #12 (by clausification #[5]): Eq (Eq (f g) (i a b)) True % 3.62/3.78 Clause #13 (by clausification #[5]): Eq (And (Eq (h a b) (And a b)) (Eq (i a b) (Or a b))) True % 3.62/3.78 Clause #14 (by clausification #[12]): Eq (f g) (i a b) % 3.62/3.78 Clause #15 (by forward demodulation #[14, 3]): Eq False (i a b) % 3.62/3.78 Clause #16 (by identity loobHoist #[15]): Or (Eq False (i a True)) (Eq b False) % 3.62/3.78 Clause #18 (by identity loobHoist #[16]): Or (Eq b False) (Or (Eq False (i True True)) (Eq a False)) % 3.62/3.78 Clause #27 (by clausification #[13]): Eq (Eq (i a b) (Or a b)) True % 3.62/3.78 Clause #28 (by clausification #[13]): Eq (Eq (h a b) (And a b)) True % 3.62/3.78 Clause #29 (by clausification #[27]): Eq (i a b) (Or a b) % 3.62/3.78 Clause #30 (by identity loobHoist #[29]): Or (Eq (i a True) (Or a b)) (Eq b False) % 3.62/3.78 Clause #32 (by identity loobHoist #[30]): Or (Eq b False) (Or (Eq (i True True) (Or a b)) (Eq a False)) % 3.62/3.78 Clause #34 (by identity loobHoist #[32]): Or (Eq b False) (Or (Eq a False) (Or (Eq (i True True) (Or a True)) (Eq b False))) % 3.62/3.78 Clause #36 (by bool simp #[34]): Or (Eq b False) (Or (Eq a False) (Or (Eq (i True True) True) (Eq b False))) % 3.62/3.78 Clause #37 (by eliminate duplicate literals #[36]): Or (Eq b False) (Or (Eq a False) (Eq (i True True) True)) % 3.62/3.78 Clause #43 (by clausification #[28]): Eq (h a b) (And a b) % 3.62/3.78 Clause #44 (by identity loobHoist #[43]): Or (Eq (h a True) (And a b)) (Eq b False) % 3.62/3.78 Clause #45 (by identity boolHoist #[43]): Or (Eq (h a False) (And a b)) (Eq b True) % 3.62/3.78 Clause #47 (by identity boolHoist #[44]): Or (Eq b False) (Or (Eq (h False True) (And a b)) (Eq a True)) % 3.62/3.78 Clause #52 (by identity loobHoist #[45]): Or (Eq b True) (Or (Eq (h True False) (And a b)) (Eq a False)) % 3.62/3.78 Clause #53 (by identity boolHoist #[45]): Or (Eq b True) (Or (Eq (h False False) (And a b)) (Eq a True)) % 3.62/3.78 Clause #55 (by identity boolHoist #[52]): Or (Eq b True) (Or (Eq a False) (Or (Eq (h True False) (And a False)) (Eq b True))) % 3.62/3.78 Clause #60 (by identity loobHoist #[47]): Or (Eq b False) (Or (Eq a True) (Or (Eq (h False True) (And a True)) (Eq b False))) % 3.62/3.78 Clause #62 (by bool simp #[60]): Or (Eq b False) (Or (Eq a True) (Or (Eq (h False True) a) (Eq b False))) % 3.62/3.78 Clause #63 (by eliminate duplicate literals #[62]): Or (Eq b False) (Or (Eq a True) (Eq (h False True) a)) % 3.62/3.78 Clause #70 (by identity boolHoist #[53]): Or (Eq b True) (Or (Eq a True) (Or (Eq (h False False) (And a False)) (Eq b True))) % 3.62/3.78 Clause #73 (by bool simp #[70]): Or (Eq b True) (Or (Eq a True) (Or (Eq (h False False) False) (Eq b True))) % 3.62/3.78 Clause #74 (by eliminate duplicate literals #[73]): Or (Eq b True) (Or (Eq a True) (Eq (h False False) False)) % 3.62/3.78 Clause #75 (by superposition #[74, 11]): Or (Eq b True) (Or (Eq a True) (Or (Eq b True) (Or (Eq False True) (Eq a True)))) % 3.62/3.78 Clause #77 (by clausification #[75]): Or (Eq b True) (Or (Eq a True) (Or (Eq b True) (Eq a True))) % 3.62/3.78 Clause #78 (by eliminate duplicate literals #[77]): Or (Eq b True) (Eq a True) % 3.62/3.78 Clause #79 (by superposition #[78, 10]): Or (Eq b True) (Or (Eq b True) (Or (Eq (h True False) True) (Eq True False))) % 3.64/3.79 Clause #80 (by clausification #[79]): Or (Eq b True) (Or (Eq b True) (Eq (h True False) True)) % 3.64/3.79 Clause #81 (by eliminate duplicate literals #[80]): Or (Eq b True) (Eq (h True False) True) % 3.64/3.79 Clause #84 (by bool simp #[55]): Or (Eq b True) (Or (Eq a False) (Or (Eq (h True False) False) (Eq b True))) % 3.64/3.79 Clause #85 (by eliminate duplicate literals #[84]): Or (Eq b True) (Or (Eq a False) (Eq (h True False) False)) % 3.64/3.79 Clause #86 (by superposition #[85, 78]): Or (Eq b True) (Or (Eq (h True False) False) (Or (Eq b True) (Eq False True))) % 3.64/3.79 Clause #87 (by clausification #[86]): Or (Eq b True) (Or (Eq (h True False) False) (Eq b True)) % 3.64/3.79 Clause #88 (by eliminate duplicate literals #[87]): Or (Eq b True) (Eq (h True False) False) % 3.64/3.79 Clause #89 (by superposition #[88, 81]): Or (Eq b True) (Or (Eq b True) (Eq False True)) % 3.64/3.79 Clause #93 (by clausification #[89]): Or (Eq b True) (Eq b True) % 3.64/3.79 Clause #94 (by eliminate duplicate literals #[93]): Eq b True % 3.64/3.79 Clause #96 (by backward demodulation #[94, 9]): Or (Eq True False) (Or (Eq (h False True) True) (Eq a True)) % 3.64/3.79 Clause #97 (by backward demodulation #[94, 18]): Or (Eq True False) (Or (Eq False (i True True)) (Eq a False)) % 3.64/3.79 Clause #100 (by backward demodulation #[94, 37]): Or (Eq True False) (Or (Eq a False) (Eq (i True True) True)) % 3.64/3.79 Clause #102 (by backward demodulation #[94, 63]): Or (Eq True False) (Or (Eq a True) (Eq (h False True) a)) % 3.64/3.79 Clause #111 (by clausification #[102]): Or (Eq a True) (Eq (h False True) a) % 3.64/3.79 Clause #113 (by clausify Prop equality #[111]): Or (Eq a True) (Or (Eq (h False True) False) (Eq a True)) % 3.64/3.79 Clause #114 (by eliminate duplicate literals #[113]): Or (Eq a True) (Eq (h False True) False) % 3.64/3.79 Clause #117 (by clausification #[97]): Or (Eq False (i True True)) (Eq a False) % 3.64/3.79 Clause #121 (by clausification #[96]): Or (Eq (h False True) True) (Eq a True) % 3.64/3.79 Clause #123 (by superposition #[121, 114]): Or (Eq a True) (Or (Eq a True) (Eq True False)) % 3.64/3.79 Clause #127 (by clausification #[123]): Or (Eq a True) (Eq a True) % 3.64/3.79 Clause #128 (by eliminate duplicate literals #[127]): Eq a True % 3.64/3.79 Clause #133 (by backward demodulation #[128, 117]): Or (Eq False (i True True)) (Eq True False) % 3.64/3.79 Clause #135 (by clausification #[133]): Eq False (i True True) % 3.64/3.79 Clause #145 (by clausification #[100]): Or (Eq a False) (Eq (i True True) True) % 3.64/3.79 Clause #146 (by forward demodulation #[145, 128]): Or (Eq True False) (Eq (i True True) True) % 3.64/3.79 Clause #147 (by clausification #[146]): Eq (i True True) True % 3.64/3.79 Clause #148 (by superposition #[147, 135]): Eq False True % 3.64/3.79 Clause #149 (by clausification #[148]): False % 3.64/3.79 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------