%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW494_5 : TPTP v9.2.0. Released v6.0.0. % 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 : Fri Oct 3 08:06:21 PM UTC 2025 % Result : Theorem 3.59s 3.78s % Output : Proof 3.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : SWW494_5 : TPTP v9.2.0. Released v6.0.0. % 0.11/0.15 % Command : duper %s % 0.12/0.37 % Computer : n022.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8042.1875MB % 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Thu Oct 2 10:58:38 EDT 2025 % 0.12/0.37 % CPUTime : % 3.59/3.78 SZS status Theorem for theBenchmark.p % 3.59/3.78 SZS output start Proof for theBenchmark.p % 3.59/3.78 Clause #2 (by assumption #[]): Eq (Exists fun X11 => isLub real (top_top (fun real bool)) (collect real p) X11) True % 3.59/3.78 Clause #113 (by assumption #[]): Eq (∀ (L : real), isLub real (top_top (fun real bool)) (collect real p) L → thesis) True % 3.59/3.78 Clause #114 (by assumption #[]): Eq (Not thesis) True % 3.59/3.78 Clause #115 (by clausification #[114]): Eq thesis False % 3.59/3.78 Clause #118 (by clausification #[113]): ∀ (a : real), Eq (isLub real (top_top (fun real bool)) (collect real p) a → thesis) True % 3.59/3.78 Clause #119 (by clausification #[118]): ∀ (a : real), Or (Eq (isLub real (top_top (fun real bool)) (collect real p) a) False) (Eq thesis True) % 3.59/3.78 Clause #120 (by forward demodulation #[119, 115]): ∀ (a : real), Or (Eq (isLub real (top_top (fun real bool)) (collect real p) a) False) (Eq False True) % 3.59/3.78 Clause #121 (by clausification #[120]): ∀ (a : real), Eq (isLub real (top_top (fun real bool)) (collect real p) a) False % 3.59/3.78 Clause #122 (by betaEtaReduce #[2]): Eq (Exists (isLub real (top_top (fun real bool)) (collect real p))) True % 3.59/3.78 Clause #123 (by clausification #[122]): ∀ (a : real), Eq (isLub real (top_top (fun real bool)) (collect real p) (skS.0 1 a)) True % 3.59/3.78 Clause #124 (by superposition #[123, 121]): Eq True False % 3.59/3.78 Clause #125 (by clausification #[124]): False % 3.59/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------