%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP236_1 : TPTP v9.2.0. Released v8.0.0. % 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 07:51:40 PM UTC 2025 % Result : Theorem 33.27s 33.51s % Output : Proof 33.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP236_1 : TPTP v9.2.0. Released v8.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.35 % Computer : n011.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 22:14:08 EDT 2025 % 0.14/0.36 % CPUTime : % 33.27/33.51 SZS status Theorem for theBenchmark.p % 33.27/33.51 SZS output start Proof for theBenchmark.p % 33.27/33.51 Clause #0 (by assumption #[]): Eq % 33.27/33.51 (Exists fun X_1 => % 33.27/33.51 pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) X_1)) % 33.27/33.51 True % 33.27/33.51 Clause #10005 (by assumption #[]): Eq % 33.27/33.51 (∀ (X2 : nat), % 33.27/33.51 pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) % 33.27/33.51 X2) → % 33.27/33.51 thesis) % 33.27/33.51 True % 33.27/33.51 Clause #10006 (by assumption #[]): Eq (Not thesis) True % 33.27/33.51 Clause #10007 (by clausification #[10006]): Eq thesis False % 33.27/33.51 Clause #10008 (by clausification #[0]): ∀ (a : nat), % 33.27/33.51 Eq % 33.27/33.51 (pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) % 33.27/33.51 (skS.0 0 a))) % 33.27/33.51 True % 33.27/33.51 Clause #10009 (by clausification #[10005]): ∀ (a : nat), % 33.27/33.51 Eq % 33.27/33.51 (pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) % 33.27/33.51 a) → % 33.27/33.51 thesis) % 33.27/33.51 True % 33.27/33.51 Clause #10010 (by clausification #[10009]): ∀ (a : nat), % 33.27/33.51 Or % 33.27/33.51 (Eq % 33.27/33.51 (pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) a)) % 33.27/33.51 False) % 33.27/33.51 (Eq thesis True) % 33.27/33.51 Clause #10011 (by forward demodulation #[10010, 10007]): ∀ (a : nat), % 33.27/33.51 Or % 33.27/33.51 (Eq % 33.27/33.51 (pp % 33.27/33.51 (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) a)) % 33.27/33.51 False) % 33.27/33.51 (Eq False True) % 33.27/33.51 Clause #10012 (by clausification #[10011]): ∀ (a : nat), % 33.27/33.51 Eq % 33.27/33.51 (pp (aa_nat_bool (aa_VEB4832260192069861672t_bool vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs)) a)) % 33.27/33.51 False % 33.27/33.51 Clause #10013 (by superposition #[10012, 10008]): Eq False True % 33.27/33.51 Clause #10019 (by clausification #[10013]): False % 33.27/33.51 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------