%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP236^2 : TPTP v9.2.1. Bugfixed v9.2.1. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 09:19:48 AM UTC 2026 % Result : Theorem 199.53s 199.81s % Output : Proof 199.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP236^2 : TPTP v9.2.1. Bugfixed v9.2.1. % 0.11/0.13 % Command : duper %s % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Thu Feb 26 15:49:34 EST 2026 % 0.15/0.34 % CPUTime : % 199.53/199.81 SZS status Theorem for theBenchmark.p % 199.53/199.81 SZS output start Proof for theBenchmark.p % 199.53/199.81 Clause #0 (by assumption #[]): Eq (Exists fun X_1 => vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) X_1) True % 199.53/199.81 Clause #8866 (by assumption #[]): Eq (∀ (X2 : nat), vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) X2 → thesis) True % 199.53/199.81 Clause #8867 (by assumption #[]): Eq (Not thesis) True % 199.53/199.81 Clause #8868 (by clausification #[8867]): Eq thesis False % 199.53/199.81 Clause #8869 (by betaEtaReduce #[0]): Eq (Exists (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs))) True % 199.53/199.81 Clause #8870 (by clausification #[8869]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) (skS.0 0 a)) True % 199.53/199.81 Clause #39440 (by clausification #[8866]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) a → thesis) True % 199.53/199.81 Clause #39441 (by clausification #[39440]): ∀ (a : nat), Or (Eq (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) a) False) (Eq thesis True) % 199.53/199.81 Clause #39442 (by forward demodulation #[39441, 8868]): ∀ (a : nat), Or (Eq (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) a) False) (Eq False True) % 199.53/199.81 Clause #39443 (by clausification #[39442]): ∀ (a : nat), Eq (vEBT_V8194947554948674370ptions (nth vEBT_VEBT treeList maxs) a) False % 199.53/199.81 Clause #39444 (by superposition #[39443, 8870]): Eq False True % 199.53/199.81 Clause #39473 (by clausification #[39444]): False % 199.53/199.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------