%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU578^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 08:01:57 PM UTC 2025 % Result : Theorem 3.75s 3.93s % Output : Proof 3.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU578^2 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n029.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 06:30:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.75/3.93 SZS status Theorem for theBenchmark.p % 3.75/3.93 SZS output start Proof for theBenchmark.p % 3.75/3.93 Clause #0 (by assumption #[]): Eq (Eq subsetRefl (∀ (A : Iota), subset A A)) True % 3.75/3.93 Clause #1 (by assumption #[]): Eq (Eq powersetI1 (∀ (A B : Iota), subset B A → in B (powerset A))) True % 3.75/3.93 Clause #2 (by assumption #[]): Eq (Not (subsetRefl → powersetI1 → ∀ (A : Iota), in A (powerset A))) True % 3.75/3.93 Clause #3 (by clausification #[0]): Eq subsetRefl (∀ (A : Iota), subset A A) % 3.75/3.93 Clause #10 (by clausification #[2]): Eq (subsetRefl → powersetI1 → ∀ (A : Iota), in A (powerset A)) False % 3.75/3.93 Clause #11 (by clausification #[10]): Eq subsetRefl True % 3.75/3.93 Clause #12 (by clausification #[10]): Eq (powersetI1 → ∀ (A : Iota), in A (powerset A)) False % 3.75/3.93 Clause #13 (by backward demodulation #[11, 3]): Eq True (∀ (A : Iota), subset A A) % 3.75/3.93 Clause #16 (by clausification #[1]): Eq powersetI1 (∀ (A B : Iota), subset B A → in B (powerset A)) % 3.75/3.93 Clause #20 (by clausification #[13]): ∀ (a : Iota), Eq (subset a a) True % 3.75/3.93 Clause #21 (by clausification #[12]): Eq powersetI1 True % 3.75/3.93 Clause #22 (by clausification #[12]): Eq (∀ (A : Iota), in A (powerset A)) False % 3.75/3.93 Clause #23 (by backward demodulation #[21, 16]): Eq True (∀ (A B : Iota), subset B A → in B (powerset A)) % 3.75/3.93 Clause #24 (by clausification #[22]): ∀ (a : Iota), Eq (Not (in (skS.0 1 a) (powerset (skS.0 1 a)))) True % 3.75/3.93 Clause #25 (by clausification #[24]): ∀ (a : Iota), Eq (in (skS.0 1 a) (powerset (skS.0 1 a))) False % 3.75/3.93 Clause #26 (by clausification #[23]): ∀ (a : Iota), Eq (∀ (B : Iota), subset B a → in B (powerset a)) True % 3.75/3.93 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (subset a a_1 → in a (powerset a_1)) True % 3.75/3.93 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (in a (powerset a_1)) True) % 3.75/3.93 Clause #29 (by superposition #[28, 20]): ∀ (a : Iota), Or (Eq (in a (powerset a)) True) (Eq False True) % 3.75/3.93 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (in a (powerset a)) True % 3.75/3.93 Clause #31 (by superposition #[30, 25]): Eq True False % 3.75/3.93 Clause #32 (by clausification #[31]): False % 3.75/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------