%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET599+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 08:00:13 PM UTC 2025 % Result : Theorem 3.46s 3.62s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET599+3 : TPTP v9.2.0. Released v2.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n021.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 14:26:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.46/3.62 SZS status Theorem for theBenchmark.p % 3.46/3.62 SZS output start Proof for theBenchmark.p % 3.46/3.62 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Eq (symmetric_difference B C) (union (difference B C) (difference C B))) True % 3.46/3.62 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), subset B (union B C)) True % 3.46/3.62 Clause #8 (by assumption #[]): Eq (Not (∀ (B C : Iota), subset (difference B C) (symmetric_difference B C))) True % 3.46/3.62 Clause #10 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), subset a (union a C)) True % 3.46/3.62 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (subset a (union a a_1)) True % 3.46/3.62 Clause #19 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (symmetric_difference a C) (union (difference a C) (difference C a))) True % 3.46/3.62 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a))) True % 3.46/3.62 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a)) % 3.46/3.62 Clause #22 (by superposition #[21, 11]): ∀ (a a_1 : Iota), Eq (subset (difference a a_1) (symmetric_difference a a_1)) True % 3.46/3.62 Clause #34 (by clausification #[8]): Eq (∀ (B C : Iota), subset (difference B C) (symmetric_difference B C)) False % 3.46/3.62 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (Not (∀ (C : Iota), subset (difference (skS.0 0 a) C) (symmetric_difference (skS.0 0 a) C))) True % 3.46/3.62 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (C : Iota), subset (difference (skS.0 0 a) C) (symmetric_difference (skS.0 0 a) C)) False % 3.46/3.62 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), % 3.46/3.62 Eq (Not (subset (difference (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1)))) True % 3.46/3.62 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), % 3.46/3.62 Eq (subset (difference (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1))) False % 3.46/3.62 Clause #39 (by superposition #[38, 22]): Eq False True % 3.46/3.62 Clause #40 (by clausification #[39]): False % 3.46/3.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------