%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU083+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:00:51 PM UTC 2025 % Result : Theorem 11.12s 11.32s % Output : Proof 11.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU083+1 : TPTP v9.2.0. Released v3.2.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n014.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 06:25:23 EDT 2025 % 0.14/0.34 % CPUTime : % 11.12/11.32 SZS status Theorem for theBenchmark.p % 11.12/11.32 SZS output start Proof for theBenchmark.p % 11.12/11.32 Clause #34 (by assumption #[]): Eq (∀ (A B : Iota), And (finite A) (finite B) → finite (set_union2 A B)) True % 11.12/11.32 Clause #60 (by assumption #[]): Eq (Not (∀ (A B : Iota), And (finite A) (finite B) → finite (set_union2 A B))) True % 11.12/11.32 Clause #127 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (B : Iota), And (finite a) (finite B) → finite (set_union2 a B)) True % 11.12/11.32 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (And (finite a) (finite a_1) → finite (set_union2 a a_1)) True % 11.12/11.32 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Or (Eq (And (finite a) (finite a_1)) False) (Eq (finite (set_union2 a a_1)) True) % 11.12/11.32 Clause #130 (by clausification #[129]): ∀ (a a_1 : Iota), Or (Eq (finite (set_union2 a a_1)) True) (Or (Eq (finite a) False) (Eq (finite a_1) False)) % 11.12/11.32 Clause #162 (by clausification #[60]): Eq (∀ (A B : Iota), And (finite A) (finite B) → finite (set_union2 A B)) False % 11.12/11.32 Clause #163 (by clausification #[162]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), And (finite (skS.0 3 a)) (finite B) → finite (set_union2 (skS.0 3 a) B))) True % 11.12/11.32 Clause #164 (by clausification #[163]): ∀ (a : Iota), Eq (∀ (B : Iota), And (finite (skS.0 3 a)) (finite B) → finite (set_union2 (skS.0 3 a) B)) False % 11.12/11.32 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), % 11.12/11.32 Eq (Not (And (finite (skS.0 3 a)) (finite (skS.0 4 a a_1)) → finite (set_union2 (skS.0 3 a) (skS.0 4 a a_1)))) True % 11.12/11.32 Clause #166 (by clausification #[165]): ∀ (a a_1 : Iota), % 11.12/11.32 Eq (And (finite (skS.0 3 a)) (finite (skS.0 4 a a_1)) → finite (set_union2 (skS.0 3 a) (skS.0 4 a a_1))) False % 11.12/11.32 Clause #167 (by clausification #[166]): ∀ (a a_1 : Iota), Eq (And (finite (skS.0 3 a)) (finite (skS.0 4 a a_1))) True % 11.12/11.32 Clause #168 (by clausification #[166]): ∀ (a a_1 : Iota), Eq (finite (set_union2 (skS.0 3 a) (skS.0 4 a a_1))) False % 11.12/11.32 Clause #169 (by clausification #[167]): ∀ (a a_1 : Iota), Eq (finite (skS.0 4 a a_1)) True % 11.12/11.32 Clause #170 (by clausification #[167]): ∀ (a : Iota), Eq (finite (skS.0 3 a)) True % 11.12/11.32 Clause #174 (by superposition #[170, 130]): ∀ (a a_1 : Iota), Or (Eq (finite (set_union2 (skS.0 3 a) a_1)) True) (Or (Eq True False) (Eq (finite a_1) False)) % 11.12/11.32 Clause #506 (by clausification #[174]): ∀ (a a_1 : Iota), Or (Eq (finite (set_union2 (skS.0 3 a) a_1)) True) (Eq (finite a_1) False) % 11.12/11.32 Clause #508 (by superposition #[506, 169]): ∀ (a a_1 a_2 : Iota), Or (Eq (finite (set_union2 (skS.0 3 a) (skS.0 4 a_1 a_2))) True) (Eq False True) % 11.12/11.32 Clause #1578 (by clausification #[508]): ∀ (a a_1 a_2 : Iota), Eq (finite (set_union2 (skS.0 3 a) (skS.0 4 a_1 a_2))) True % 11.12/11.32 Clause #1579 (by superposition #[1578, 168]): Eq True False % 11.12/11.32 Clause #1588 (by clausification #[1579]): False % 11.12/11.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------