%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET077+1 : TPTP v9.2.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 07:59:34 PM UTC 2025 % Result : Theorem 3.73s 3.91s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET077+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n010.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 13:29:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.73/3.91 SZS status Theorem for theBenchmark.p % 3.73/3.91 SZS output start Proof for theBenchmark.p % 3.73/3.91 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True % 3.73/3.91 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Eq (singleton X) (unordered_pair X X)) True % 3.73/3.91 Clause #43 (by assumption #[]): Eq (Not (∀ (X : Iota), member (singleton X) universal_class)) True % 3.73/3.91 Clause #63 (by clausification #[43]): Eq (∀ (X : Iota), member (singleton X) universal_class) False % 3.73/3.91 Clause #64 (by clausification #[63]): ∀ (a : Iota), Eq (Not (member (singleton (skS.0 1 a)) universal_class)) True % 3.73/3.91 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (member (singleton (skS.0 1 a)) universal_class) False % 3.73/3.91 Clause #66 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True % 3.73/3.91 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True % 3.73/3.91 Clause #70 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (singleton a) (unordered_pair a a)) True % 3.73/3.91 Clause #71 (by clausification #[70]): ∀ (a : Iota), Eq (singleton a) (unordered_pair a a) % 3.73/3.91 Clause #72 (by superposition #[71, 67]): ∀ (a : Iota), Eq (member (singleton a) universal_class) True % 3.73/3.91 Clause #83 (by superposition #[72, 65]): Eq True False % 3.73/3.91 Clause #86 (by clausification #[83]): False % 3.73/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------