%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP236^3 : TPTP v9.2.1. Bugfixed v9.2.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 : Sat Feb 28 09:19:49 AM UTC 2026 % Result : Theorem 27.72s 27.97s % Output : Proof 27.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : ITP236^3 : TPTP v9.2.1. Bugfixed v9.2.1. % 0.00/0.11 % Command : duper %s % 0.12/0.31 % Computer : n022.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 300 % 0.12/0.31 % DateTime : Thu Feb 26 15:56:21 EST 2026 % 0.12/0.31 % CPUTime : % 27.72/27.97 SZS status Theorem for theBenchmark.p % 27.72/27.97 SZS output start Proof for theBenchmark.p % 27.72/27.97 Clause #0 (by assumption #[]): Eq (Exists fun X_1 => vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) X_1) True % 27.72/27.97 Clause #9280 (by assumption #[]): Eq (∀ (X2 : nat), vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) X2 → thesis) True % 27.72/27.97 Clause #9281 (by assumption #[]): Eq (Not thesis) True % 27.72/27.97 Clause #9282 (by clausification #[9281]): Eq thesis False % 27.72/27.97 Clause #9283 (by betaEtaReduce #[0]): Eq (Exists (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs))) True % 27.72/27.97 Clause #9284 (by clausification #[9283]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) (skS.0 0 a)) True % 27.72/27.97 Clause #9290 (by clausification #[9280]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) a → thesis) True % 27.72/27.97 Clause #9291 (by clausification #[9290]): ∀ (a : nat), Or (Eq (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) a) False) (Eq thesis True) % 27.72/27.97 Clause #9292 (by forward demodulation #[9291, 9282]): ∀ (a : nat), Or (Eq (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) a) False) (Eq False True) % 27.72/27.97 Clause #9293 (by clausification #[9292]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth_VEBT_VEBT treeList maxs) a) False % 27.72/27.97 Clause #9294 (by superposition #[9293, 9284]): Eq False True % 27.72/27.97 Clause #9296 (by clausification #[9294]): False % 27.72/27.97 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------