%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV367+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:04:57 PM UTC 2025 % Result : Theorem 8.13s 8.35s % Output : Proof 8.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV367+1 : TPTP v9.2.0. Released v3.3.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n011.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 : Thu Oct 2 12:23:23 EDT 2025 % 0.13/0.34 % CPUTime : % 8.13/8.35 SZS status Theorem for theBenchmark.p % 8.13/8.35 SZS output start Proof for theBenchmark.p % 8.13/8.35 Clause #7 (by assumption #[]): Eq (∀ (U : Iota), Not (contains_pq create_pq U)) True % 8.13/8.35 Clause #53 (by assumption #[]): Eq (∀ (U V : Iota), Eq (i (triple U create_slb V)) create_pq) True % 8.13/8.35 Clause #62 (by assumption #[]): Eq % 8.13/8.35 (Not % 8.13/8.35 (∀ (U V W : Iota), % 8.13/8.35 contains_pq (i (triple U create_slb V)) W → % 8.13/8.35 Eq (i (remove_cpq (triple U create_slb V) W)) (remove_pq (i (triple U create_slb V)) W))) % 8.13/8.35 True % 8.13/8.35 Clause #77 (by clausification #[7]): ∀ (a : Iota), Eq (Not (contains_pq create_pq a)) True % 8.13/8.35 Clause #78 (by clausification #[77]): ∀ (a : Iota), Eq (contains_pq create_pq a) False % 8.13/8.35 Clause #871 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (V : Iota), Eq (i (triple a create_slb V)) create_pq) True % 8.13/8.35 Clause #872 (by clausification #[871]): ∀ (a a_1 : Iota), Eq (Eq (i (triple a create_slb a_1)) create_pq) True % 8.13/8.35 Clause #873 (by clausification #[872]): ∀ (a a_1 : Iota), Eq (i (triple a create_slb a_1)) create_pq % 8.13/8.35 Clause #2481 (by clausification #[62]): Eq % 8.13/8.35 (∀ (U V W : Iota), % 8.13/8.35 contains_pq (i (triple U create_slb V)) W → % 8.13/8.35 Eq (i (remove_cpq (triple U create_slb V) W)) (remove_pq (i (triple U create_slb V)) W)) % 8.13/8.35 False % 8.13/8.35 Clause #2482 (by clausification #[2481]): ∀ (a : Iota), % 8.13/8.35 Eq % 8.13/8.35 (Not % 8.13/8.35 (∀ (V W : Iota), % 8.13/8.35 contains_pq (i (triple (skS.0 3 a) create_slb V)) W → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb V) W)) (remove_pq (i (triple (skS.0 3 a) create_slb V)) W))) % 8.13/8.35 True % 8.13/8.35 Clause #2483 (by clausification #[2482]): ∀ (a : Iota), % 8.13/8.35 Eq % 8.13/8.35 (∀ (V W : Iota), % 8.13/8.35 contains_pq (i (triple (skS.0 3 a) create_slb V)) W → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb V) W)) (remove_pq (i (triple (skS.0 3 a) create_slb V)) W)) % 8.13/8.35 False % 8.13/8.35 Clause #2484 (by clausification #[2483]): ∀ (a a_1 : Iota), % 8.13/8.35 Eq % 8.13/8.35 (Not % 8.13/8.35 (∀ (W : Iota), % 8.13/8.35 contains_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) W → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb (skS.0 4 a a_1)) W)) % 8.13/8.35 (remove_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) W))) % 8.13/8.35 True % 8.13/8.35 Clause #2485 (by clausification #[2484]): ∀ (a a_1 : Iota), % 8.13/8.35 Eq % 8.13/8.35 (∀ (W : Iota), % 8.13/8.35 contains_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) W → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb (skS.0 4 a a_1)) W)) % 8.13/8.35 (remove_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) W)) % 8.13/8.35 False % 8.13/8.35 Clause #2486 (by clausification #[2485]): ∀ (a a_1 a_2 : Iota), % 8.13/8.35 Eq % 8.13/8.35 (Not % 8.13/8.35 (contains_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) (skS.0 5 a a_1 a_2) → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb (skS.0 4 a a_1)) (skS.0 5 a a_1 a_2))) % 8.13/8.35 (remove_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) (skS.0 5 a a_1 a_2)))) % 8.13/8.35 True % 8.13/8.35 Clause #2487 (by clausification #[2486]): ∀ (a a_1 a_2 : Iota), % 8.13/8.35 Eq % 8.13/8.35 (contains_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) (skS.0 5 a a_1 a_2) → % 8.13/8.35 Eq (i (remove_cpq (triple (skS.0 3 a) create_slb (skS.0 4 a a_1)) (skS.0 5 a a_1 a_2))) % 8.13/8.35 (remove_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) (skS.0 5 a a_1 a_2))) % 8.13/8.35 False % 8.13/8.35 Clause #2488 (by clausification #[2487]): ∀ (a a_1 a_2 : Iota), Eq (contains_pq (i (triple (skS.0 3 a) create_slb (skS.0 4 a a_1))) (skS.0 5 a a_1 a_2)) True % 8.13/8.35 Clause #2490 (by forward demodulation #[2488, 873]): ∀ (a a_1 a_2 : Iota), Eq (contains_pq create_pq (skS.0 5 a a_1 a_2)) True % 8.13/8.35 Clause #2491 (by superposition #[2490, 78]): Eq True False % 8.13/8.35 Clause #2503 (by clausification #[2491]): False % 8.13/8.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------