%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU134+1 : TPTP v9.2.0. Released v3.3.0. % 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 08:00:56 PM UTC 2025 % Result : Theorem 3.57s 3.77s % Output : Proof 3.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SEU134+1 : TPTP v9.2.0. Released v3.3.0. % 0.08/0.13 % 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 06:31:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.57/3.77 SZS status Theorem for theBenchmark.p % 3.57/3.77 SZS output start Proof for theBenchmark.p % 3.57/3.77 Clause #11 (by assumption #[]): Eq (Not (∀ (A B : Iota), Iff (Eq (set_difference A B) empty_set) (subset A B))) True % 3.57/3.77 Clause #12 (by assumption #[]): Eq (∀ (A B : Iota), Iff (Eq (set_difference A B) empty_set) (subset A B)) True % 3.57/3.77 Clause #38 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq (set_difference a B) empty_set) (subset a B)) True % 3.57/3.77 Clause #39 (by clausification #[38]): ∀ (a a_1 : Iota), Eq (Iff (Eq (set_difference a a_1) empty_set) (subset a a_1)) True % 3.57/3.77 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_difference a a_1) empty_set) True) (Eq (subset a a_1) False) % 3.57/3.77 Clause #41 (by clausification #[39]): ∀ (a a_1 : Iota), Or (Eq (Eq (set_difference a a_1) empty_set) False) (Eq (subset a a_1) True) % 3.57/3.77 Clause #42 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (set_difference a a_1) empty_set) % 3.57/3.77 Clause #45 (by clausification #[41]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Ne (set_difference a a_1) empty_set) % 3.57/3.77 Clause #60 (by clausification #[11]): Eq (∀ (A B : Iota), Iff (Eq (set_difference A B) empty_set) (subset A B)) False % 3.57/3.77 Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), Iff (Eq (set_difference (skS.0 2 a) B) empty_set) (subset (skS.0 2 a) B))) True % 3.57/3.77 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (Eq (set_difference (skS.0 2 a) B) empty_set) (subset (skS.0 2 a) B)) False % 3.57/3.77 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), % 3.57/3.77 Eq (Not (Iff (Eq (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) (subset (skS.0 2 a) (skS.0 3 a a_1)))) True % 3.57/3.77 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), % 3.57/3.77 Eq (Iff (Eq (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) (subset (skS.0 2 a) (skS.0 3 a a_1))) False % 3.57/3.77 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota), % 3.57/3.77 Or (Eq (Eq (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) False) % 3.57/3.77 (Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) False) % 3.57/3.77 Clause #66 (by clausification #[64]): ∀ (a a_1 : Iota), % 3.57/3.77 Or (Eq (Eq (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) True) % 3.57/3.77 (Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True) % 3.57/3.77 Clause #67 (by clausification #[65]): ∀ (a a_1 : Iota), % 3.57/3.77 Or (Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) False) (Ne (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) % 3.57/3.77 Clause #68 (by forward contextual literal cutting #[67, 42]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) False % 3.57/3.77 Clause #69 (by clausification #[66]): ∀ (a a_1 : Iota), % 3.57/3.77 Or (Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True) (Eq (set_difference (skS.0 2 a) (skS.0 3 a a_1)) empty_set) % 3.57/3.77 Clause #70 (by forward contextual literal cutting #[69, 45]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True % 3.57/3.77 Clause #71 (by superposition #[70, 68]): Eq True False % 3.57/3.77 Clause #73 (by clausification #[71]): False % 3.57/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------