%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV402+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 08:05:00 PM UTC 2025 % Result : Theorem 4.34s 4.55s % Output : Proof 4.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV402+1 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.14 % Command : duper %s % 0.13/0.36 % Computer : n013.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 12:24:38 EDT 2025 % 0.13/0.36 % CPUTime : % 4.34/4.55 SZS status Theorem for theBenchmark.p % 4.34/4.55 SZS output start Proof for theBenchmark.p % 4.34/4.55 Clause #9 (by assumption #[]): Eq (∀ (U V : Iota), Not (pair_in_list create_slb U V)) True % 4.34/4.55 Clause #18 (by assumption #[]): Eq % 4.34/4.55 (Not % 4.34/4.55 (Iota → % 4.34/4.55 ∀ (V W X : Iota), % 4.34/4.55 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X)) % 4.34/4.55 True % 4.34/4.55 Clause #41 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (V : Iota), Not (pair_in_list create_slb a V)) True % 4.34/4.55 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (Not (pair_in_list create_slb a a_1)) True % 4.34/4.55 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb a a_1) False % 4.34/4.55 Clause #80 (by clausification #[18]): Eq % 4.34/4.55 (Iota → % 4.34/4.55 ∀ (V W X : Iota), % 4.34/4.55 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X) % 4.34/4.55 False % 4.34/4.55 Clause #81 (by clausification #[80]): Iota → % 4.34/4.55 Eq % 4.34/4.55 (Not % 4.34/4.55 (∀ (V W X : Iota), % 4.34/4.55 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X)) % 4.34/4.55 True % 4.34/4.55 Clause #82 (by clausification #[81]): Eq % 4.34/4.55 (∀ (V W X : Iota), % 4.34/4.55 And (pair_in_list create_slb V W) (strictly_less_than W X) → pair_in_list (update_slb create_slb X) V X) % 4.34/4.55 False % 4.34/4.55 Clause #83 (by clausification #[82]): ∀ (a : Iota), % 4.34/4.55 Eq % 4.34/4.55 (Not % 4.34/4.55 (∀ (W X : Iota), % 4.34/4.55 And (pair_in_list create_slb (skS.0 1 a) W) (strictly_less_than W X) → % 4.34/4.55 pair_in_list (update_slb create_slb X) (skS.0 1 a) X)) % 4.34/4.55 True % 4.34/4.55 Clause #84 (by clausification #[83]): ∀ (a : Iota), % 4.34/4.55 Eq % 4.34/4.55 (∀ (W X : Iota), % 4.34/4.55 And (pair_in_list create_slb (skS.0 1 a) W) (strictly_less_than W X) → % 4.34/4.55 pair_in_list (update_slb create_slb X) (skS.0 1 a) X) % 4.34/4.55 False % 4.34/4.55 Clause #85 (by clausification #[84]): ∀ (a a_1 : Iota), % 4.34/4.55 Eq % 4.34/4.55 (Not % 4.34/4.55 (∀ (X : Iota), % 4.34/4.55 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) X) → % 4.34/4.55 pair_in_list (update_slb create_slb X) (skS.0 1 a) X)) % 4.34/4.55 True % 4.34/4.55 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), % 4.34/4.55 Eq % 4.34/4.55 (∀ (X : Iota), % 4.34/4.55 And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) X) → % 4.34/4.55 pair_in_list (update_slb create_slb X) (skS.0 1 a) X) % 4.34/4.55 False % 4.34/4.55 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 : Iota), % 4.34/4.55 Eq % 4.34/4.55 (Not % 4.34/4.55 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) % 4.34/4.55 (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) → % 4.34/4.55 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 3 a a_1 a_2))) % 4.34/4.55 True % 4.34/4.55 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), % 4.34/4.55 Eq % 4.34/4.55 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) % 4.34/4.55 (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) → % 4.34/4.55 pair_in_list (update_slb create_slb (skS.0 3 a a_1 a_2)) (skS.0 1 a) (skS.0 3 a a_1 a_2)) % 4.34/4.55 False % 4.34/4.55 Clause #89 (by clausification #[88]): ∀ (a a_1 a_2 : Iota), % 4.34/4.55 Eq % 4.34/4.55 (And (pair_in_list create_slb (skS.0 1 a) (skS.0 2 a a_1)) (strictly_less_than (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) % 4.34/4.55 True % 4.34/4.55 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 % 4.34/4.55 Clause #170 (by superposition #[92, 43]): Eq True False % 4.34/4.55 Clause #172 (by clausification #[170]): False % 4.34/4.55 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------