%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV397+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 115.89s 116.10s % Output : Proof 116.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV397+1 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n012.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 12:53:38 EDT 2025 % 0.14/0.35 % CPUTime : % 115.89/116.10 SZS status Theorem for theBenchmark.p % 115.89/116.10 SZS output start Proof for theBenchmark.p % 115.89/116.10 Clause #27 (by assumption #[]): Eq (∀ (U V : Iota), Iff (ok (triple U V bad)) False) True % 115.89/116.10 Clause #30 (by assumption #[]): Eq (∀ (U V W X : Iota), Not (contains_slb V X) → Eq (remove_cpq (triple U V W) X) (triple U V bad)) True % 115.89/116.10 Clause #41 (by assumption #[]): Eq (Not (∀ (U V W X : Iota), ok (remove_cpq (triple U V W) X) → contains_slb V X)) True % 115.89/116.10 Clause #152 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (ok (triple a V bad)) False) True % 115.89/116.10 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Eq (Iff (ok (triple a a_1 bad)) False) True % 115.89/116.10 Clause #155 (by clausification #[153]): ∀ (a a_1 : Iota), Or (Eq (ok (triple a a_1 bad)) False) (Eq False True) % 115.89/116.10 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota), Eq (ok (triple a a_1 bad)) False % 115.89/116.10 Clause #351 (by clausification #[41]): Eq (∀ (U V W X : Iota), ok (remove_cpq (triple U V W) X) → contains_slb V X) False % 115.89/116.10 Clause #352 (by clausification #[351]): ∀ (a : Iota), Eq (Not (∀ (V W X : Iota), ok (remove_cpq (triple (skS.0 0 a) V W) X) → contains_slb V X)) True % 115.89/116.10 Clause #353 (by clausification #[352]): ∀ (a : Iota), Eq (∀ (V W X : Iota), ok (remove_cpq (triple (skS.0 0 a) V W) X) → contains_slb V X) False % 115.89/116.10 Clause #354 (by clausification #[353]): ∀ (a a_1 : Iota), % 115.89/116.10 Eq (Not (∀ (W X : Iota), ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) W) X) → contains_slb (skS.0 1 a a_1) X)) % 115.89/116.10 True % 115.89/116.10 Clause #355 (by clausification #[354]): ∀ (a a_1 : Iota), % 115.89/116.10 Eq (∀ (W X : Iota), ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) W) X) → contains_slb (skS.0 1 a a_1) X) False % 115.89/116.10 Clause #356 (by clausification #[355]): ∀ (a a_1 a_2 : Iota), % 115.89/116.10 Eq % 115.89/116.10 (Not % 115.89/116.10 (∀ (X : Iota), % 115.89/116.10 ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) X) → contains_slb (skS.0 1 a a_1) X)) % 115.89/116.10 True % 115.89/116.10 Clause #357 (by clausification #[356]): ∀ (a a_1 a_2 : Iota), % 115.89/116.10 Eq % 115.89/116.10 (∀ (X : Iota), % 115.89/116.10 ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) X) → contains_slb (skS.0 1 a a_1) X) % 115.89/116.10 False % 115.89/116.10 Clause #358 (by clausification #[357]): ∀ (a a_1 a_2 a_3 : Iota), % 115.89/116.10 Eq % 115.89/116.10 (Not % 115.89/116.10 (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3)) → % 115.89/116.10 contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3))) % 115.89/116.10 True % 115.89/116.10 Clause #359 (by clausification #[358]): ∀ (a a_1 a_2 a_3 : Iota), % 115.89/116.10 Eq % 115.89/116.10 (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3)) → % 115.89/116.10 contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) % 115.89/116.10 False % 115.89/116.10 Clause #360 (by clausification #[359]): ∀ (a a_1 a_2 a_3 : Iota), % 115.89/116.10 Eq (ok (remove_cpq (triple (skS.0 0 a) (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3))) True % 115.89/116.10 Clause #361 (by clausification #[359]): ∀ (a a_1 a_2 a_3 : Iota), Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) False % 115.89/116.10 Clause #565 (by clausification #[30]): ∀ (a : Iota), Eq (∀ (V W X : Iota), Not (contains_slb V X) → Eq (remove_cpq (triple a V W) X) (triple a V bad)) True % 115.89/116.10 Clause #566 (by clausification #[565]): ∀ (a a_1 : Iota), % 115.89/116.10 Eq (∀ (W X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a W) X) (triple a_1 a bad)) True % 115.89/116.10 Clause #567 (by clausification #[566]): ∀ (a a_1 a_2 : Iota), % 115.89/116.10 Eq (∀ (X : Iota), Not (contains_slb a X) → Eq (remove_cpq (triple a_1 a a_2) X) (triple a_1 a bad)) True % 115.89/116.10 Clause #568 (by clausification #[567]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Not (contains_slb a a_1) → Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) True % 115.89/116.10 Clause #569 (by clausification #[568]): ∀ (a a_1 a_2 a_3 : Iota), % 115.89/116.10 Or (Eq (Not (contains_slb a a_1)) False) (Eq (Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) True) % 115.89/116.10 Clause #570 (by clausification #[569]): ∀ (a a_1 a_2 a_3 : Iota), % 115.89/116.10 Or (Eq (Eq (remove_cpq (triple a a_1 a_2) a_3) (triple a a_1 bad)) True) (Eq (contains_slb a_1 a_3) True) % 115.89/116.10 Clause #571 (by clausification #[570]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (contains_slb a a_1) True) (Eq (remove_cpq (triple a_2 a a_3) a_1) (triple a_2 a bad)) % 116.17/116.34 Clause #576 (by superposition #[571, 360]): ∀ (a a_1 a_2 a_3 : Iota), % 116.17/116.34 Or (Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True) % 116.17/116.34 (Eq (ok (triple (skS.0 0 a) (skS.0 1 a a_1) bad)) True) % 116.17/116.34 Clause #40007 (by forward demodulation #[576, 156]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True) (Eq False True) % 116.17/116.34 Clause #40008 (by clausification #[40007]): ∀ (a a_1 a_2 a_3 : Iota), Eq (contains_slb (skS.0 1 a a_1) (skS.0 3 a a_1 a_2 a_3)) True % 116.17/116.34 Clause #40009 (by superposition #[40008, 361]): Eq True False % 116.17/116.34 Clause #40046 (by clausification #[40009]): False % 116.17/116.34 SZS output end Proof for theBenchmark.p 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