%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU532^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 08:01:50 PM UTC 2025 % Result : Theorem 3.84s 4.06s % Output : Proof 3.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU532^2 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n022.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 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 05:51:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.84/4.06 SZS status Theorem for theBenchmark.p % 3.84/4.06 SZS output start Proof for theBenchmark.p % 3.84/4.06 Clause #0 (by assumption #[]): Eq (Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy))) True % 3.84/4.06 Clause #1 (by assumption #[]): Eq (Not (setadjoinIL → ∀ (Xx Xy : Iota), in Xx (setadjoin Xx (setadjoin Xy emptyset)))) True % 3.84/4.06 Clause #2 (by clausification #[0]): Eq setadjoinIL (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) % 3.84/4.06 Clause #4 (by clausify Prop equality #[2]): Or (Eq setadjoinIL False) (Eq (∀ (Xx Xy : Iota), in Xx (setadjoin Xx Xy)) True) % 3.84/4.06 Clause #6 (by clausification #[4]): ∀ (a : Iota), Or (Eq setadjoinIL False) (Eq (∀ (Xy : Iota), in a (setadjoin a Xy)) True) % 3.84/4.06 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq setadjoinIL False) (Eq (in a (setadjoin a a_1)) True) % 3.84/4.06 Clause #12 (by clausification #[1]): Eq (setadjoinIL → ∀ (Xx Xy : Iota), in Xx (setadjoin Xx (setadjoin Xy emptyset))) False % 3.84/4.06 Clause #13 (by clausification #[12]): Eq setadjoinIL True % 3.84/4.06 Clause #14 (by clausification #[12]): Eq (∀ (Xx Xy : Iota), in Xx (setadjoin Xx (setadjoin Xy emptyset))) False % 3.84/4.06 Clause #16 (by backward demodulation #[13, 7]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (in a (setadjoin a a_1)) True) % 3.84/4.06 Clause #18 (by clausification #[14]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), in (skS.0 2 a) (setadjoin (skS.0 2 a) (setadjoin Xy emptyset)))) True % 3.84/4.06 Clause #19 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in (skS.0 2 a) (setadjoin (skS.0 2 a) (setadjoin Xy emptyset))) False % 3.84/4.06 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 2 a) (setadjoin (skS.0 2 a) (setadjoin (skS.0 3 a a_1) emptyset)))) True % 3.84/4.06 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (in (skS.0 2 a) (setadjoin (skS.0 2 a) (setadjoin (skS.0 3 a a_1) emptyset))) False % 3.84/4.06 Clause #22 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a a_1)) True % 3.84/4.06 Clause #23 (by superposition #[22, 21]): Eq True False % 3.84/4.06 Clause #24 (by clausification #[23]): False % 3.84/4.06 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------