%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU568^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 08:01:56 PM UTC 2025 % Result : Theorem 3.58s 3.75s % Output : Proof 3.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU568^2 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n004.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 06:12:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.58/3.75 SZS status Theorem for theBenchmark.p % 3.58/3.75 SZS output start Proof for theBenchmark.p % 3.58/3.75 Clause #2 (by assumption #[]): Eq (Not (notsubsetI → notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B)) True % 3.58/3.75 Clause #24 (by clausification #[2]): Eq (notsubsetI → notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False % 3.58/3.75 Clause #26 (by clausification #[24]): Eq (notequalI1 → ∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False % 3.58/3.75 Clause #36 (by clausification #[26]): Eq (∀ (A B Xx : Iota), in Xx A → Not (in Xx B) → Ne A B) False % 3.58/3.75 Clause #46 (by clausification #[36]): ∀ (a : Iota), Eq (Not (∀ (B Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx B) → Ne (skS.0 2 a) B)) True % 3.58/3.75 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx B) → Ne (skS.0 2 a) B) False % 3.58/3.75 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), % 3.58/3.75 Eq (Not (∀ (Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1))) True % 3.58/3.75 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), % 3.58/3.75 Eq (∀ (Xx : Iota), in Xx (skS.0 2 a) → Not (in Xx (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)) False % 3.58/3.75 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 3.58/3.75 Eq % 3.58/3.75 (Not % 3.58/3.75 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) → % 3.58/3.75 Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1))) % 3.58/3.75 True % 3.58/3.75 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), % 3.58/3.75 Eq % 3.58/3.75 (in (skS.0 4 a a_1 a_2) (skS.0 2 a) → Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)) % 3.58/3.75 False % 3.58/3.75 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) True % 3.58/3.75 Clause #53 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) → Ne (skS.0 2 a) (skS.0 3 a a_1)) False % 3.58/3.75 Clause #74 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1))) True % 3.58/3.75 Clause #75 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (Ne (skS.0 2 a) (skS.0 3 a a_1)) False % 3.58/3.75 Clause #76 (by clausification #[74]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 3 a a_1)) False % 3.58/3.75 Clause #77 (by clausification #[75]): ∀ (a a_1 : Iota), Eq (skS.0 2 a) (skS.0 3 a a_1) % 3.58/3.75 Clause #78 (by backward demodulation #[77, 76]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 4 a a_1 a_2) (skS.0 2 a)) False % 3.58/3.75 Clause #79 (by superposition #[78, 52]): Eq False True % 3.58/3.75 Clause #80 (by clausification #[79]): False % 3.58/3.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------