%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET025+1 : TPTP v9.2.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 07:59:24 PM UTC 2025 % Result : Theorem 3.75s 3.98s % Output : Proof 3.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET025+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n005.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 14:47:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.75/3.98 SZS status Theorem for theBenchmark.p % 3.75/3.98 SZS output start Proof for theBenchmark.p % 3.75/3.98 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True % 3.75/3.98 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (ordered_pair X Y) (unordered_pair (singleton X) (unordered_pair X (singleton Y)))) True % 3.75/3.98 Clause #43 (by assumption #[]): Eq (Not (∀ (X Y : Iota), member (ordered_pair X Y) universal_class)) True % 3.75/3.98 Clause #63 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True % 3.75/3.98 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True % 3.75/3.98 Clause #117 (by clausification #[43]): Eq (∀ (X Y : Iota), member (ordered_pair X Y) universal_class) False % 3.75/3.98 Clause #118 (by clausification #[117]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), member (ordered_pair (skS.0 1 a) Y) universal_class)) True % 3.75/3.98 Clause #119 (by clausification #[118]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (ordered_pair (skS.0 1 a) Y) universal_class) False % 3.75/3.98 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), Eq (Not (member (ordered_pair (skS.0 1 a) (skS.0 2 a a_1)) universal_class)) True % 3.75/3.98 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (member (ordered_pair (skS.0 1 a) (skS.0 2 a a_1)) universal_class) False % 3.75/3.98 Clause #126 (by clausification #[6]): ∀ (a : Iota), % 3.75/3.98 Eq (∀ (Y : Iota), Eq (ordered_pair a Y) (unordered_pair (singleton a) (unordered_pair a (singleton Y)))) True % 3.75/3.98 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1)))) True % 3.75/3.98 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1))) % 3.75/3.98 Clause #129 (by superposition #[128, 64]): ∀ (a a_1 : Iota), Eq (member (ordered_pair a a_1) universal_class) True % 3.75/3.98 Clause #132 (by superposition #[129, 121]): Eq True False % 3.75/3.98 Clause #136 (by clausification #[132]): False % 3.75/3.98 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------