%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP177^1 : TPTP v9.2.0. Released v7.5.0. % 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 07:51:22 PM UTC 2025 % Result : Theorem 4.46s 4.65s % Output : Proof 4.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : ITP177^1 : TPTP v9.2.0. Released v7.5.0. % 0.04/0.13 % 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 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 00:48:53 EDT 2025 % 0.13/0.34 % CPUTime : % 4.46/4.65 SZS status Theorem for theBenchmark.p % 4.46/4.65 SZS output start Proof for theBenchmark.p % 4.46/4.65 Clause #0 (by assumption #[]): Eq (∀ (Xa : b), member_b (f Xa) (labele1424214014nt_a_b g) → member_b Xa (labele1424214014nt_a_b g)) True % 4.46/4.65 Clause #2 (by assumption #[]): Eq (member_b (f x) (labele1424214014nt_a_b g)) True % 4.46/4.65 Clause #341 (by assumption #[]): Eq (Not (member_b x (labele1424214014nt_a_b g))) True % 4.46/4.65 Clause #344 (by clausification #[0]): ∀ (a : b), Eq (member_b (f a) (labele1424214014nt_a_b g) → member_b a (labele1424214014nt_a_b g)) True % 4.46/4.65 Clause #345 (by clausification #[344]): ∀ (a : b), Or (Eq (member_b (f a) (labele1424214014nt_a_b g)) False) (Eq (member_b a (labele1424214014nt_a_b g)) True) % 4.46/4.65 Clause #346 (by clausification #[341]): Eq (member_b x (labele1424214014nt_a_b g)) False % 4.46/4.65 Clause #445 (by superposition #[2, 345]): Or (Eq (member_b x (labele1424214014nt_a_b g)) True) (Eq False True) % 4.46/4.65 Clause #916 (by clausification #[445]): Eq (member_b x (labele1424214014nt_a_b g)) True % 4.46/4.65 Clause #917 (by superposition #[916, 346]): Eq True False % 4.46/4.65 Clause #937 (by clausification #[917]): False % 4.46/4.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------