%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET940+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:00:43 PM UTC 2025 % Result : Theorem 3.75s 3.94s % Output : Proof 3.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET940+1 : TPTP v9.2.0. Released v3.2.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n031.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 : Thu Oct 2 13:55:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.75/3.94 SZS status Theorem for theBenchmark.p % 3.75/3.94 SZS output start Proof for theBenchmark.p % 3.75/3.94 Clause #7 (by assumption #[]): Eq (Not (∀ (A B : Iota), Eq (union (unordered_pair A B)) (set_union2 A B))) True % 3.75/3.94 Clause #8 (by assumption #[]): Eq (∀ (A B : Iota), Eq (union (unordered_pair A B)) (set_union2 A B)) True % 3.75/3.94 Clause #33 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (union (unordered_pair a B)) (set_union2 a B)) True % 3.75/3.94 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Eq (Eq (union (unordered_pair a a_1)) (set_union2 a a_1)) True % 3.75/3.94 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (union (unordered_pair a a_1)) (set_union2 a a_1) % 3.75/3.94 Clause #37 (by clausification #[7]): Eq (∀ (A B : Iota), Eq (union (unordered_pair A B)) (set_union2 A B)) False % 3.75/3.94 Clause #38 (by clausification #[37]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Eq (union (unordered_pair (skS.0 2 a) B)) (set_union2 (skS.0 2 a) B))) True % 3.75/3.94 Clause #39 (by clausification #[38]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (union (unordered_pair (skS.0 2 a) B)) (set_union2 (skS.0 2 a) B)) False % 3.75/3.94 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), % 3.75/3.94 Eq (Not (Eq (union (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))) (set_union2 (skS.0 2 a) (skS.0 3 a a_1)))) True % 3.75/3.94 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), % 3.75/3.94 Eq (Eq (union (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))) (set_union2 (skS.0 2 a) (skS.0 3 a a_1))) False % 3.75/3.94 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Ne (union (unordered_pair (skS.0 2 a) (skS.0 3 a a_1))) (set_union2 (skS.0 2 a) (skS.0 3 a a_1)) % 3.75/3.94 Clause #43 (by forward demodulation #[42, 35]): ∀ (a a_1 : Iota), Ne (set_union2 (skS.0 2 a) (skS.0 3 a a_1)) (set_union2 (skS.0 2 a) (skS.0 3 a a_1)) % 3.75/3.94 Clause #44 (by eliminate resolved literals #[43]): False % 3.75/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------