%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ001+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 07:58:11 PM UTC 2025 % Result : Theorem 10.24s 10.46s % Output : Proof 10.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : PUZ001+1 : TPTP v9.2.0. Released v2.0.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n015.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 : Thu Oct 2 20:50:38 EDT 2025 % 0.13/0.35 % CPUTime : % 10.24/10.46 SZS status Theorem for theBenchmark.p % 10.24/10.46 SZS output start Proof for theBenchmark.p % 10.24/10.46 Clause #0 (by assumption #[]): Eq (Exists fun X => And (lives X) (killed X agatha)) True % 10.24/10.46 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), lives X → Or (Or (Eq X agatha) (Eq X butler)) (Eq X charles)) True % 10.24/10.46 Clause #5 (by assumption #[]): Eq (∀ (X Y : Iota), killed X Y → hates X Y) True % 10.24/10.46 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), killed X Y → Not (richer X Y)) True % 10.24/10.46 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), hates agatha X → Not (hates charles X)) True % 10.24/10.46 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Ne X butler → hates agatha X) True % 10.24/10.46 Clause #9 (by assumption #[]): Eq (∀ (X : Iota), Not (richer X agatha) → hates butler X) True % 10.24/10.46 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), hates agatha X → hates butler X) True % 10.24/10.46 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), Exists fun Y => Not (hates X Y)) True % 10.24/10.46 Clause #12 (by assumption #[]): Eq (Ne agatha butler) True % 10.24/10.46 Clause #13 (by assumption #[]): Eq (Not (killed agatha agatha)) True % 10.24/10.46 Clause #14 (by clausification #[13]): Eq (killed agatha agatha) False % 10.24/10.46 Clause #15 (by clausification #[12]): Ne agatha butler % 10.24/10.46 Clause #16 (by clausification #[0]): ∀ (a : Iota), Eq (And (lives (skS.0 0 a)) (killed (skS.0 0 a) agatha)) True % 10.24/10.46 Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (killed (skS.0 0 a) agatha) True % 10.24/10.46 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (lives (skS.0 0 a)) True % 10.24/10.46 Clause #19 (by clausification #[10]): ∀ (a : Iota), Eq (hates agatha a → hates butler a) True % 10.24/10.46 Clause #20 (by clausification #[19]): ∀ (a : Iota), Or (Eq (hates agatha a) False) (Eq (hates butler a) True) % 10.24/10.46 Clause #21 (by clausification #[9]): ∀ (a : Iota), Eq (Not (richer a agatha) → hates butler a) True % 10.24/10.46 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (Not (richer a agatha)) False) (Eq (hates butler a) True) % 10.24/10.46 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (hates butler a) True) (Eq (richer a agatha) True) % 10.24/10.46 Clause #24 (by clausification #[8]): ∀ (a : Iota), Eq (Ne a butler → hates agatha a) True % 10.24/10.46 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (Ne a butler) False) (Eq (hates agatha a) True) % 10.24/10.46 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (hates agatha a) True) (Eq a butler) % 10.24/10.46 Clause #27 (by superposition #[26, 20]): ∀ (a : Iota), Or (Eq a butler) (Or (Eq True False) (Eq (hates butler a) True)) % 10.24/10.46 Clause #29 (by superposition #[26, 15]): ∀ (a : Iota), Or (Eq (hates agatha a) True) (Ne agatha a) % 10.24/10.46 Clause #31 (by destructive equality resolution #[29]): Eq (hates agatha agatha) True % 10.24/10.46 Clause #35 (by clausification #[4]): ∀ (a : Iota), Eq (lives a → Or (Or (Eq a agatha) (Eq a butler)) (Eq a charles)) True % 10.24/10.46 Clause #36 (by clausification #[35]): ∀ (a : Iota), Or (Eq (lives a) False) (Eq (Or (Or (Eq a agatha) (Eq a butler)) (Eq a charles)) True) % 10.24/10.46 Clause #37 (by clausification #[36]): ∀ (a : Iota), Or (Eq (lives a) False) (Or (Eq (Or (Eq a agatha) (Eq a butler)) True) (Eq (Eq a charles) True)) % 10.24/10.46 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (lives a) False) (Or (Eq (Eq a charles) True) (Or (Eq (Eq a agatha) True) (Eq (Eq a butler) True))) % 10.24/10.46 Clause #39 (by clausification #[38]): ∀ (a : Iota), Or (Eq (lives a) False) (Or (Eq (Eq a agatha) True) (Or (Eq (Eq a butler) True) (Eq a charles))) % 10.24/10.46 Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (lives a) False) (Or (Eq (Eq a butler) True) (Or (Eq a charles) (Eq a agatha))) % 10.24/10.46 Clause #41 (by clausification #[40]): ∀ (a : Iota), Or (Eq (lives a) False) (Or (Eq a charles) (Or (Eq a agatha) (Eq a butler))) % 10.24/10.46 Clause #46 (by clausification #[7]): ∀ (a : Iota), Eq (hates agatha a → Not (hates charles a)) True % 10.24/10.46 Clause #47 (by clausification #[46]): ∀ (a : Iota), Or (Eq (hates agatha a) False) (Eq (Not (hates charles a)) True) % 10.24/10.46 Clause #48 (by clausification #[47]): ∀ (a : Iota), Or (Eq (hates agatha a) False) (Eq (hates charles a) False) % 10.24/10.46 Clause #49 (by superposition #[48, 31]): Or (Eq (hates charles agatha) False) (Eq False True) % 10.24/10.46 Clause #52 (by clausification #[49]): Eq (hates charles agatha) False % 10.34/10.50 Clause #53 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Y : Iota), killed a Y → hates a Y) True % 10.34/10.50 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (killed a a_1 → hates a a_1) True % 10.34/10.50 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (killed a a_1) False) (Eq (hates a a_1) True) % 10.34/10.50 Clause #57 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), killed a Y → Not (richer a Y)) True % 10.34/10.50 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (killed a a_1 → Not (richer a a_1)) True % 10.34/10.50 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), Or (Eq (killed a a_1) False) (Eq (Not (richer a a_1)) True) % 10.34/10.50 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota), Or (Eq (killed a a_1) False) (Eq (richer a a_1) False) % 10.34/10.50 Clause #62 (by clausification #[11]): ∀ (a : Iota), Eq (Exists fun Y => Not (hates a Y)) True % 10.34/10.50 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Eq (Not (hates a (skS.0 1 a a_1))) True % 10.34/10.50 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Eq (hates a (skS.0 1 a a_1)) False % 10.34/10.50 Clause #67 (by superposition #[18, 41]): ∀ (a : Iota), Or (Eq (skS.0 0 a) charles) (Or (Eq (skS.0 0 a) agatha) (Or (Eq (skS.0 0 a) butler) (Eq False True))) % 10.34/10.50 Clause #69 (by clausification #[27]): ∀ (a : Iota), Or (Eq a butler) (Eq (hates butler a) True) % 10.34/10.50 Clause #75 (by superposition #[69, 64]): ∀ (a : Iota), Or (Eq (skS.0 1 butler a) butler) (Eq True False) % 10.34/10.50 Clause #344 (by clausification #[67]): ∀ (a : Iota), Or (Eq (skS.0 0 a) charles) (Or (Eq (skS.0 0 a) agatha) (Eq (skS.0 0 a) butler)) % 10.34/10.50 Clause #345 (by superposition #[344, 17]): ∀ (a : Iota), Or (Eq (skS.0 0 a) agatha) (Or (Eq (skS.0 0 a) butler) (Eq (killed charles agatha) True)) % 10.34/10.50 Clause #564 (by clausification #[75]): ∀ (a : Iota), Eq (skS.0 1 butler a) butler % 10.34/10.50 Clause #565 (by superposition #[564, 64]): Eq (hates butler butler) False % 10.34/10.50 Clause #4317 (by superposition #[345, 17]): ∀ (a : Iota), Or (Eq (skS.0 0 a) agatha) (Or (Eq (killed charles agatha) True) (Eq (killed butler agatha) True)) % 10.34/10.50 Clause #4346 (by superposition #[4317, 17]): Or (Eq (killed charles agatha) True) (Or (Eq (killed butler agatha) True) (Eq (killed agatha agatha) True)) % 10.34/10.50 Clause #4356 (by forward demodulation #[4346, 14]): Or (Eq (killed charles agatha) True) (Or (Eq (killed butler agatha) True) (Eq False True)) % 10.34/10.50 Clause #4357 (by clausification #[4356]): Or (Eq (killed charles agatha) True) (Eq (killed butler agatha) True) % 10.34/10.50 Clause #4358 (by superposition #[4357, 55]): Or (Eq (killed butler agatha) True) (Or (Eq True False) (Eq (hates charles agatha) True)) % 10.34/10.50 Clause #4460 (by clausification #[4358]): Or (Eq (killed butler agatha) True) (Eq (hates charles agatha) True) % 10.34/10.50 Clause #4461 (by forward demodulation #[4460, 52]): Or (Eq (killed butler agatha) True) (Eq False True) % 10.34/10.50 Clause #4462 (by clausification #[4461]): Eq (killed butler agatha) True % 10.34/10.50 Clause #4465 (by superposition #[4462, 60]): Or (Eq True False) (Eq (richer butler agatha) False) % 10.34/10.50 Clause #4517 (by clausification #[4465]): Eq (richer butler agatha) False % 10.34/10.50 Clause #4518 (by superposition #[4517, 23]): Or (Eq (hates butler butler) True) (Eq False True) % 10.34/10.50 Clause #4582 (by clausification #[4518]): Eq (hates butler butler) True % 10.34/10.50 Clause #4583 (by superposition #[4582, 565]): Eq True False % 10.34/10.50 Clause #4619 (by clausification #[4583]): False % 10.34/10.50 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------