%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU513^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n003.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 08:01:47 PM UTC 2025 % Result : Theorem 3.43s 3.60s % Output : Proof 3.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU513^2 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.14 % Command : duper %s % 0.14/0.35 % Computer : n003.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 05:18:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.43/3.60 SZS status Theorem for theBenchmark.p % 3.43/3.60 SZS output start Proof for theBenchmark.p % 3.43/3.60 Clause #0 (by assumption #[]): Eq (Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))) True % 3.43/3.60 Clause #1 (by assumption #[]): Eq (Not (setadjoinIL → in emptyset (setadjoin emptyset emptyset))) True % 3.43/3.60 Clause #2 (by clausification #[1]): Eq (setadjoinIL → in emptyset (setadjoin emptyset emptyset)) False % 3.43/3.60 Clause #3 (by clausification #[2]): Eq setadjoinIL True % 3.43/3.60 Clause #4 (by clausification #[2]): Eq (in emptyset (setadjoin emptyset emptyset)) False % 3.43/3.60 Clause #5 (by clausification #[0]): Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) % 3.43/3.60 Clause #6 (by forward demodulation #[5, 3]): Eq True (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) % 3.43/3.60 Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in a (setadjoin a Xy)) True % 3.43/3.60 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a a_1)) True % 3.43/3.60 Clause #9 (by superposition #[8, 4]): Eq True False % 3.43/3.60 Clause #10 (by clausification #[9]): False % 3.43/3.60 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------