%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET093+1 : TPTP v9.2.0. Bugfixed v7.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:59:37 PM UTC 2025 % Result : Theorem 3.72s 3.94s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET093+1 : TPTP v9.2.0. Bugfixed v7.3.0. % 0.06/0.13 % Command : duper %s % 0.14/0.34 % Computer : n009.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 14:35:23 EDT 2025 % 0.14/0.34 % CPUTime : % 3.72/3.94 SZS status Theorem for theBenchmark.p % 3.72/3.94 SZS output start Proof for theBenchmark.p % 3.72/3.94 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True % 3.72/3.94 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Eq (singleton X) (unordered_pair X X)) True % 3.72/3.94 Clause #47 (by assumption #[]): Eq (Not (∀ (X : Iota), Eq (singleton (member_of X)) X → member X universal_class)) True % 3.72/3.94 Clause #51 (by clausification #[47]): Eq (∀ (X : Iota), Eq (singleton (member_of X)) X → member X universal_class) False % 3.72/3.94 Clause #52 (by clausification #[51]): ∀ (a : Iota), Eq (Not (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a) → member (skS.0 0 a) universal_class)) True % 3.72/3.94 Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a) → member (skS.0 0 a) universal_class) False % 3.72/3.94 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a)) True % 3.72/3.94 Clause #55 (by clausification #[53]): ∀ (a : Iota), Eq (member (skS.0 0 a) universal_class) False % 3.72/3.94 Clause #56 (by clausification #[54]): ∀ (a : Iota), Eq (singleton (member_of (skS.0 0 a))) (skS.0 0 a) % 3.72/3.94 Clause #73 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True % 3.72/3.94 Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True % 3.72/3.94 Clause #97 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (singleton a) (unordered_pair a a)) True % 3.72/3.94 Clause #98 (by clausification #[97]): ∀ (a : Iota), Eq (singleton a) (unordered_pair a a) % 3.72/3.94 Clause #99 (by superposition #[98, 74]): ∀ (a : Iota), Eq (member (singleton a) universal_class) True % 3.72/3.94 Clause #116 (by superposition #[99, 56]): ∀ (a : Iota), Eq (member (skS.0 0 a) universal_class) True % 3.72/3.94 Clause #255 (by superposition #[116, 55]): Eq True False % 3.72/3.94 Clause #263 (by clausification #[255]): False % 3.72/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------