%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV400+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:04:59 PM UTC 2025 % Result : Theorem 3.67s 3.92s % Output : Proof 3.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV400+1 : TPTP v9.2.0. Released v3.3.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n028.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 12:26:10 EDT 2025 % 0.12/0.34 % CPUTime : % 3.67/3.92 SZS status Theorem for theBenchmark.p % 3.67/3.92 SZS output start Proof for theBenchmark.p % 3.67/3.92 Clause #9 (by assumption #[]): Eq (∀ (U V : Iota), Not (pair_in_list create_slb U V)) True % 3.67/3.92 Clause #18 (by assumption #[]): Eq % 3.67/3.92 (Not % 3.67/3.92 (Iota → % 3.67/3.92 ∀ (V W X : Iota), And (pair_in_list create_slb V W) (less_than X W) → pair_in_list (update_slb create_slb X) V W)) % 3.67/3.92 True % 3.67/3.92 Clause #41 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (V : Iota), Not (pair_in_list create_slb a V)) True % 3.67/3.92 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (Not (pair_in_list create_slb a a_1)) True % 3.67/3.92 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb a a_1) False % 3.67/3.92 Clause #80 (by clausification #[18]): Eq % 3.67/3.92 (Iota → % 3.67/3.92 ∀ (V W X : Iota), And (pair_in_list create_slb V W) (less_than X W) → pair_in_list (update_slb create_slb X) V W) % 3.67/3.92 False % 3.67/3.92 Clause #81 (by clausification #[80]): Iota → % 3.67/3.92 Eq % 3.67/3.92 (Not % 3.67/3.92 (∀ (V W X : Iota), % 3.67/3.92 And (pair_in_list create_slb V W) (less_than X W) → pair_in_list (update_slb create_slb X) V W)) % 3.67/3.92 True % 3.67/3.92 Clause #82 (by clausification #[81]): Eq (∀ (V W X : Iota), And (pair_in_list create_slb V W) (less_than X W) → pair_in_list (update_slb create_slb X) V W) % 3.67/3.92 False % 3.67/3.92 Clause #83 (by clausification #[82]): ∀ (a : Iota), % 3.67/3.92 Eq % 3.67/3.92 (Not % 3.67/3.92 (∀ (W X : Iota), % 3.67/3.92 And (pair_in_list create_slb (skS.0 1 a) W) (less_than X W) → % 3.67/3.92 pair_in_list (update_slb create_slb X) (skS.0 1 a) W)) % 3.67/3.92 True % 3.67/3.92 Clause #84 (by clausification #[83]): ∀ (a : Iota), % 3.67/3.92 Eq % 3.67/3.92 (∀ (W X : Iota), % 3.67/3.92 And (pair_in_list create_slb (skS.0 1 a) W) (less_than X W) → % 3.67/3.92 pair_in_list (update_slb create_slb X) (skS.0 1 a) W) % 3.67/3.92 False % 3.67/3.92 Clause #85 (by clausification #[84]): ∀ (a a_1 : Iota), % 3.67/3.92 Eq % 3.67/3.92 (Not % 3.67/3.92 (∀ (X : Iota), % 3.67/3.92 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (less_than X (skS.0 2 a a_1)) → % 3.67/3.92 pair_in_list (update_slb create_slb X) (skS.0 1 a) (skS.0 2 a a_1))) % 3.67/3.92 True % 3.67/3.92 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), % 3.67/3.92 Eq % 3.67/3.92 (∀ (X : Iota), % 3.67/3.92 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (less_than X (skS.0 2 a a_1)) → % 3.67/3.92 pair_in_list (update_slb create_slb X) (skS.0 1 a) (skS.0 2 a a_1)) % 3.67/3.92 False % 3.67/3.92 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), % 3.67/3.92 Eq % 3.67/3.92 (Not % 3.67/3.92 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (less_than (skS.0 3 a a_1 a_2) (skS.0 2 a a_1)) → % 3.67/3.92 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 2 a a_1))) % 3.67/3.92 True % 3.67/3.92 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), % 3.67/3.92 Eq % 3.67/3.92 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (less_than (skS.0 3 a a_1 a_2) (skS.0 2 a a_1)) → % 3.67/3.92 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 2 a a_1)) % 3.67/3.92 False % 3.67/3.92 Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), % 3.67/3.92 Eq (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (less_than (skS.0 3 a a_1 a_2) (skS.0 2 a a_1))) True % 3.67/3.92 Clause #92 (by clausification #[89]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) True % 3.67/3.92 Clause #171 (by superposition #[92, 43]): Eq True False % 3.67/3.92 Clause #173 (by clausification #[171]): False % 3.67/3.92 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------