%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU528^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 3.74s 3.91s % Output : Proof 3.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU528^2 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.13/0.33 % Computer : n006.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Fri Oct 3 04:36:53 EDT 2025 % 0.13/0.33 % CPUTime : % 3.74/3.91 SZS status Theorem for theBenchmark.p % 3.74/3.91 SZS output start Proof for theBenchmark.p % 3.74/3.91 Clause #0 (by assumption #[]): Eq (Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy)) True % 3.74/3.91 Clause #1 (by assumption #[]): Eq (Not (uniqinunit → ∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset)))) True % 3.74/3.91 Clause #2 (by clausification #[0]): Eq uniqinunit (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy) % 3.74/3.91 Clause #16 (by clausification #[1]): Eq (uniqinunit → ∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset))) False % 3.74/3.91 Clause #17 (by clausification #[16]): Eq uniqinunit True % 3.74/3.91 Clause #18 (by clausification #[16]): Eq (∀ (Xx Xy : Iota), Ne Xx Xy → Not (in Xy (setadjoin Xx emptyset))) False % 3.74/3.91 Clause #19 (by backward demodulation #[17, 2]): Eq True (∀ (Xx Xy : Iota), in Xx (setadjoin Xy emptyset) → Eq Xx Xy) % 3.74/3.91 Clause #24 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (Xy : Iota), in a (setadjoin Xy emptyset) → Eq a Xy) True % 3.74/3.91 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (in a (setadjoin a_1 emptyset) → Eq a a_1) True % 3.74/3.91 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq (Eq a a_1) True) % 3.74/3.91 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (in a (setadjoin a_1 emptyset)) False) (Eq a a_1) % 3.74/3.91 Clause #28 (by clausification #[18]): ∀ (a : Iota), Eq (Not (∀ (Xy : Iota), Ne (skS.0 2 a) Xy → Not (in Xy (setadjoin (skS.0 2 a) emptyset)))) True % 3.74/3.91 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (Xy : Iota), Ne (skS.0 2 a) Xy → Not (in Xy (setadjoin (skS.0 2 a) emptyset))) False % 3.74/3.91 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), % 3.74/3.91 Eq (Not (Ne (skS.0 2 a) (skS.0 3 a a_1) → Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset)))) True % 3.74/3.91 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1) → Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset))) False % 3.74/3.91 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1)) True % 3.74/3.91 Clause #33 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Not (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset))) False % 3.74/3.91 Clause #34 (by clausification #[32]): ∀ (a a_1 : Iota), Ne (skS.0 2 a) (skS.0 3 a a_1) % 3.74/3.91 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (in (skS.0 3 a a_1) (setadjoin (skS.0 2 a) emptyset)) True % 3.74/3.91 Clause #36 (by superposition #[35, 27]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (skS.0 3 a a_1) (skS.0 2 a)) % 3.74/3.91 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (skS.0 3 a a_1) (skS.0 2 a) % 3.74/3.91 Clause #38 (by forward contextual literal cutting #[37, 34]): False % 3.74/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------