%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV392+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 4.22s 4.43s % Output : Proof 4.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV392+1 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n031.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 13:15:38 EDT 2025 % 0.13/0.35 % CPUTime : % 4.22/4.43 SZS status Theorem for theBenchmark.p % 4.22/4.43 SZS output start Proof for theBenchmark.p % 4.22/4.43 Clause #9 (by assumption #[]): Eq (∀ (U V : Iota), Not (pair_in_list create_slb U V)) True % 4.22/4.43 Clause #18 (by assumption #[]): Eq % 4.22/4.43 (Not % 4.22/4.43 (∀ (U V : Iota), % 4.22/4.43 pair_in_list create_slb U V → % 4.22/4.43 ∀ (W : Iota), contains_slb create_slb W → Or (pair_in_list (remove_slb create_slb W) U V) (Eq U W))) % 4.22/4.43 True % 4.22/4.43 Clause #41 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (V : Iota), Not (pair_in_list create_slb a V)) True % 4.22/4.43 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota), Eq (Not (pair_in_list create_slb a a_1)) True % 4.22/4.43 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb a a_1) False % 4.22/4.43 Clause #225 (by clausification #[18]): Eq % 4.22/4.43 (∀ (U V : Iota), % 4.22/4.43 pair_in_list create_slb U V → % 4.22/4.43 ∀ (W : Iota), contains_slb create_slb W → Or (pair_in_list (remove_slb create_slb W) U V) (Eq U W)) % 4.22/4.43 False % 4.22/4.43 Clause #226 (by clausification #[225]): ∀ (a : Iota), % 4.22/4.43 Eq % 4.22/4.43 (Not % 4.22/4.43 (∀ (V : Iota), % 4.22/4.43 pair_in_list create_slb (skS.0 0 a) V → % 4.22/4.43 ∀ (W : Iota), % 4.22/4.43 contains_slb create_slb W → Or (pair_in_list (remove_slb create_slb W) (skS.0 0 a) V) (Eq (skS.0 0 a) W))) % 4.22/4.43 True % 4.22/4.43 Clause #227 (by clausification #[226]): ∀ (a : Iota), % 4.22/4.43 Eq % 4.22/4.43 (∀ (V : Iota), % 4.22/4.43 pair_in_list create_slb (skS.0 0 a) V → % 4.22/4.43 ∀ (W : Iota), % 4.22/4.43 contains_slb create_slb W → Or (pair_in_list (remove_slb create_slb W) (skS.0 0 a) V) (Eq (skS.0 0 a) W)) % 4.22/4.43 False % 4.22/4.43 Clause #228 (by clausification #[227]): ∀ (a a_1 : Iota), % 4.22/4.43 Eq % 4.22/4.43 (Not % 4.22/4.43 (pair_in_list create_slb (skS.0 0 a) (skS.0 1 a a_1) → % 4.22/4.43 ∀ (W : Iota), % 4.22/4.43 contains_slb create_slb W → % 4.22/4.43 Or (pair_in_list (remove_slb create_slb W) (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 0 a) W))) % 4.22/4.43 True % 4.22/4.43 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), % 4.22/4.43 Eq % 4.22/4.43 (pair_in_list create_slb (skS.0 0 a) (skS.0 1 a a_1) → % 4.22/4.43 ∀ (W : Iota), % 4.22/4.43 contains_slb create_slb W → % 4.22/4.43 Or (pair_in_list (remove_slb create_slb W) (skS.0 0 a) (skS.0 1 a a_1)) (Eq (skS.0 0 a) W)) % 4.22/4.43 False % 4.22/4.43 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (pair_in_list create_slb (skS.0 0 a) (skS.0 1 a a_1)) True % 4.22/4.43 Clause #232 (by superposition #[230, 43]): Eq True False % 4.22/4.43 Clause #234 (by clausification #[232]): False % 4.22/4.43 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------