%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP236_2 : TPTP v9.2.0. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 07:51:40 PM UTC 2025 % Result : Theorem 102.40s 102.62s % Output : Proof 102.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP236_2 : TPTP v9.2.0. Released v8.0.0. % 0.03/0.13 % Command : duper %s % 0.13/0.35 % Computer : n017.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 22:29:08 EDT 2025 % 0.13/0.35 % CPUTime : % 102.40/102.62 SZS status Theorem for theBenchmark.p % 102.40/102.62 SZS output start Proof for theBenchmark.p % 102.40/102.62 Clause #0 (by assumption #[]): Eq % 102.40/102.62 (Exists fun X_1 => % 102.40/102.62 pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 X_1)) % 102.40/102.62 True % 102.40/102.62 Clause #9905 (by assumption #[]): Eq % 102.40/102.62 (∀ (X2 : nat), % 102.40/102.62 pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 X2) → % 102.40/102.62 thesis) % 102.40/102.62 True % 102.40/102.62 Clause #9906 (by assumption #[]): Eq (Not thesis) True % 102.40/102.62 Clause #9907 (by clausification #[9906]): Eq thesis False % 102.40/102.62 Clause #9908 (by clausification #[0]): ∀ (a : nat), % 102.40/102.62 Eq % 102.40/102.62 (pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 (skS.0 0 a))) % 102.40/102.62 True % 102.40/102.62 Clause #11271 (by clausification #[9905]): ∀ (a : nat), % 102.40/102.62 Eq % 102.40/102.62 (pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 a) → % 102.40/102.62 thesis) % 102.40/102.62 True % 102.40/102.62 Clause #11272 (by clausification #[11271]): ∀ (a : nat), % 102.40/102.62 Or % 102.40/102.62 (Eq % 102.40/102.62 (pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 a)) % 102.40/102.62 False) % 102.40/102.62 (Eq thesis True) % 102.40/102.62 Clause #11273 (by forward demodulation #[11272, 9907]): ∀ (a : nat), % 102.40/102.62 Or % 102.40/102.62 (Eq % 102.40/102.62 (pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 a)) % 102.40/102.62 False) % 102.40/102.62 (Eq False True) % 102.40/102.62 Clause #11274 (by clausification #[11273]): ∀ (a : nat), % 102.40/102.62 Eq % 102.40/102.62 (pp % 102.40/102.62 (aa nat bool % 102.40/102.62 (aa vEBT_VEBT (fun nat bool) vEBT_V8194947554948674370ptions (aa nat vEBT_VEBT (nth vEBT_VEBT treeList) maxs)) % 102.40/102.62 a)) % 102.40/102.62 False % 102.40/102.62 Clause #11275 (by superposition #[11274, 9908]): Eq False True % 102.40/102.62 Clause #11278 (by clausification #[11275]): False % 102.40/102.62 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------