%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET117+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 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 07:59:40 PM UTC 2025 % Result : Theorem 3.69s 3.89s % Output : Proof 3.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET117+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : duper %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 14:22:38 EDT 2025 % 0.12/0.34 % CPUTime : % 3.69/3.89 SZS status Theorem for theBenchmark.p % 3.69/3.89 SZS output start Proof for theBenchmark.p % 3.69/3.89 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True % 3.69/3.89 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (ordered_pair X Y) (unordered_pair (singleton X) (unordered_pair X (singleton Y)))) True % 3.69/3.89 Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), Eq (ordered_pair (first X) (second X)) X → member X universal_class)) True % 3.69/3.89 Clause #63 (by clausification #[43]): Eq (∀ (X : Iota), Eq (ordered_pair (first X) (second X)) X → member X universal_class) False % 3.69/3.89 Clause #64 (by clausification #[63]): ∀ (a : Iota), % 3.69/3.89 Eq (Not (Eq (ordered_pair (first (skS.0 1 a)) (second (skS.0 1 a))) (skS.0 1 a) → member (skS.0 1 a) universal_class)) % 3.69/3.89 True % 3.69/3.89 Clause #65 (by clausification #[64]): ∀ (a : Iota), % 3.69/3.89 Eq (Eq (ordered_pair (first (skS.0 1 a)) (second (skS.0 1 a))) (skS.0 1 a) → member (skS.0 1 a) universal_class) False % 3.69/3.89 Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (Eq (ordered_pair (first (skS.0 1 a)) (second (skS.0 1 a))) (skS.0 1 a)) True % 3.69/3.89 Clause #67 (by clausification #[65]): ∀ (a : Iota), Eq (member (skS.0 1 a) universal_class) False % 3.69/3.89 Clause #68 (by clausification #[66]): ∀ (a : Iota), Eq (ordered_pair (first (skS.0 1 a)) (second (skS.0 1 a))) (skS.0 1 a) % 3.69/3.89 Clause #69 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True % 3.69/3.89 Clause #70 (by clausification #[69]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True % 3.69/3.89 Clause #127 (by clausification #[6]): ∀ (a : Iota), % 3.69/3.89 Eq (∀ (Y : Iota), Eq (ordered_pair a Y) (unordered_pair (singleton a) (unordered_pair a (singleton Y)))) True % 3.69/3.89 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1)))) True % 3.69/3.89 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1))) % 3.69/3.89 Clause #130 (by superposition #[129, 70]): ∀ (a a_1 : Iota), Eq (member (ordered_pair a a_1) universal_class) True % 3.69/3.89 Clause #136 (by superposition #[130, 68]): ∀ (a : Iota), Eq (member (skS.0 1 a) universal_class) True % 3.69/3.89 Clause #173 (by superposition #[67, 136]): Eq True False % 3.69/3.89 Clause #174 (by clausification #[173]): False % 3.69/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------