%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO009^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 08:08:24 PM UTC 2025 % Result : Theorem 5.25s 5.45s % Output : Proof 5.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : SYO009^1 : TPTP v9.2.0. Released v3.7.0. % 0.00/0.10 % Command : duper %s % 0.10/0.30 % Computer : n007.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 300 % 0.10/0.30 % DateTime : Fri Oct 3 13:49:38 EDT 2025 % 0.10/0.30 % CPUTime : % 5.25/5.45 SZS status Theorem for theBenchmark.p % 5.25/5.45 SZS output start Proof for theBenchmark.p % 5.25/5.45 Clause #0 (by assumption #[]): Eq (Not ((p fun X => f X) → p f)) True % 5.25/5.45 Clause #1 (by betaEtaReduce #[0]): Eq (Not (p f → p f)) True % 5.25/5.45 Clause #2 (by clausification #[1]): Eq (p f → p f) False % 5.25/5.45 Clause #3 (by clausification #[2]): Eq (p f) True % 5.25/5.45 Clause #4 (by clausification #[2]): Eq (p f) False % 5.25/5.45 Clause #5 (by superposition #[4, 3]): Eq False True % 5.25/5.45 Clause #6 (by clausification #[5]): False % 5.25/5.45 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------