%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET915+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:00:41 PM UTC 2025 % Result : Theorem 3.95s 4.13s % Output : Proof 3.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SET915+1 : TPTP v9.2.0. Released v3.2.0. % 0.06/0.12 % Command : duper %s % 0.12/0.31 % Computer : n028.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 300 % 0.12/0.31 % DateTime : Thu Oct 2 14:34:08 EDT 2025 % 0.16/0.31 % CPUTime : % 3.95/4.13 SZS status Theorem for theBenchmark.p % 3.95/4.13 SZS output start Proof for theBenchmark.p % 3.95/4.13 Clause #4 (by assumption #[]): Eq (Not (∀ (A B : Iota), Not (in A B) → disjoint (singleton A) B)) True % 3.95/4.13 Clause #5 (by assumption #[]): Eq (∀ (A B : Iota), Not (in A B) → disjoint (singleton A) B) True % 3.95/4.13 Clause #17 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (in a B) → disjoint (singleton a) B) True % 3.95/4.13 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (Not (in a a_1) → disjoint (singleton a) a_1) True % 3.95/4.13 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (Not (in a a_1)) False) (Eq (disjoint (singleton a) a_1) True) % 3.95/4.13 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (disjoint (singleton a) a_1) True) (Eq (in a a_1) True) % 3.95/4.13 Clause #22 (by clausification #[4]): Eq (∀ (A B : Iota), Not (in A B) → disjoint (singleton A) B) False % 3.95/4.13 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Not (in (skS.0 2 a) B) → disjoint (singleton (skS.0 2 a)) B)) True % 3.95/4.13 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (in (skS.0 2 a) B) → disjoint (singleton (skS.0 2 a)) B) False % 3.95/4.13 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), % 3.95/4.13 Eq (Not (Not (in (skS.0 2 a) (skS.0 3 a a_1)) → disjoint (singleton (skS.0 2 a)) (skS.0 3 a a_1))) True % 3.95/4.13 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1)) → disjoint (singleton (skS.0 2 a)) (skS.0 3 a a_1)) False % 3.95/4.13 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 2 a) (skS.0 3 a a_1))) True % 3.95/4.13 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (disjoint (singleton (skS.0 2 a)) (skS.0 3 a a_1)) False % 3.95/4.13 Clause #29 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (skS.0 3 a a_1)) False % 3.95/4.13 Clause #30 (by superposition #[29, 20]): ∀ (a a_1 : Iota), Or (Eq (disjoint (singleton (skS.0 2 a)) (skS.0 3 a a_1)) True) (Eq False True) % 3.95/4.13 Clause #52 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (disjoint (singleton (skS.0 2 a)) (skS.0 3 a a_1)) True % 3.95/4.13 Clause #53 (by superposition #[52, 28]): Eq True False % 3.95/4.13 Clause #55 (by clausification #[53]): False % 3.95/4.13 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------