%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWV410+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 3.52s 3.71s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV410+1 : TPTP v9.2.0. Released v3.3.0. % 0.11/0.14 % Command : duper %s % 0.14/0.35 % Computer : n005.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 13:23:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.52/3.71 SZS status Theorem for theBenchmark.p % 3.52/3.71 SZS output start Proof for theBenchmark.p % 3.52/3.71 Clause #7 (by assumption #[]): Eq (∀ (U : Iota), Not (contains_slb create_slb U)) True % 3.52/3.71 Clause #18 (by assumption #[]): Eq (Not (∀ (U : Iota), contains_slb create_slb U → Exists fun V => pair_in_list create_slb U V)) True % 3.52/3.71 Clause #22 (by clausification #[7]): ∀ (a : Iota), Eq (Not (contains_slb create_slb a)) True % 3.52/3.71 Clause #23 (by clausification #[22]): ∀ (a : Iota), Eq (contains_slb create_slb a) False % 3.52/3.71 Clause #62 (by betaEtaReduce #[18]): Eq (Not (∀ (U : Iota), contains_slb create_slb U → Exists (pair_in_list create_slb U))) True % 3.52/3.71 Clause #63 (by clausification #[62]): Eq (∀ (U : Iota), contains_slb create_slb U → Exists (pair_in_list create_slb U)) False % 3.52/3.71 Clause #64 (by clausification #[63]): ∀ (a : Iota), Eq (Not (contains_slb create_slb (skS.0 0 a) → Exists (pair_in_list create_slb (skS.0 0 a)))) True % 3.52/3.71 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (contains_slb create_slb (skS.0 0 a) → Exists (pair_in_list create_slb (skS.0 0 a))) False % 3.52/3.71 Clause #66 (by clausification #[65]): ∀ (a : Iota), Eq (contains_slb create_slb (skS.0 0 a)) True % 3.52/3.71 Clause #68 (by superposition #[66, 23]): Eq True False % 3.52/3.71 Clause #79 (by clausification #[68]): False % 3.52/3.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------